Question 1

The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a population standard deviation of 100 eggs. Random samples of size 16 are drawn from this population and the mean of each sample is determined. a) The distribution of c is [ Select ] , the mean of the sample mean is [ Select 1 v and standard deviation of the [Select ] sample mean is [ Select ] Standard Binomial Normal b) The probability that the sample mean eggs laid by the house fly is greater than 860 is [ Select ] C) P(C > [ Select ] v )=0.75The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a population standard deviation of 100 eggs. Random samples of size 16 are drawn from this population and the mean of each sample is determined. a) The distribution of a is [ Select ] v , the mean of the sample mean is [ Select ] and standard deviation of the [ Select sample mean is [ Select ] 4 16 100 b) The probability that the sample mean eggs laid by the house fly is greater than buy is 800 C) P(C > [ Select ] v )=0.75The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a population standard deviation of 100 eggs. Random samples of size 16 are drawn from this population and the mean of each sample is determined. a) The distribution of & is I Select 1 , the mean of the sample mean is [ Select ] V and standard deviation of the sample mean is [ Select ] [ Select ] 25 b) The probabilit 100 ean eggs laid by the house fly is greater than 860 is [ Select ] 4 800 C) P(T I Select v )=0.75The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a population standard deviation of 100 eggs. Random samples of size 16 are drawn from this population and the mean of each sample is determined. a) The distribution of a is [ Select ] , the mean of the sample mean is [ Select ] v and standard deviation of the sample mean is [ Select ] b) The probability that the sample mean eggs laid by the house fly is greater than 860 is [ Select ] Select ] [ Select ] 0.5501 c) Pac > v )=0.75 0.0082 0.2743The number of eggs a female house fly lays during her lifetime is normally distributed with a mean of 800 eggs and a population standard deviation of 100 eggs. Random samples of size 16 are drawn from this population and the mean of each sample is determined. a) The distribution of & is [ Select ] V , the mean of the sample mean is [ Select ] V and standard deviation of the sample mean is [ Select ] b) The probability that the sample mean eggs laid by the house fly is greater than 860 is [ Select 1 C) P(I > [ Select ] )=0.75 [ Select 810 783 0.750 0.783Specify whether the following statements are "TRUE" or "FALSE" A. When a random sample is to be taken from a population and a statistic is to be computed, the statistic can also be thought of as random variable. [ Select ] [ Select ] B. If the size of a TRUE FALSE ected sample from a population is increased from n = 100 to n = 400, then the standard deviation of will decrease by a factor of 2. [ Select ] C. If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample proportion is approximately a binomial distribution. [ Select ]Specify whether the following statements are "TRUE" or "FALSE" A. When a random sample is to be taken from a population and a statistic is to be computed, the statistic can also be thought of as random variable. [ Select ] B. If the size of a sample randomly selected sample from a population is increased from n = 100 to n = 400, then the standard deviation of will decrease by a factor of 2. [ Select ] [ Select ] C. If the sample size (n) is large, and the sa FALSE TRUE hple, then the distribution of the sample proportion is approximately a binomial distribution. I Select ]Specify whether the following statements are "TRUE" or "FALSE" A. When a random sample is to be taken from a population and a statistic is to be computed, the statistic can also be thought of as random variable. [ Select ] B. If the size of a sample randomly selected sample from a population is increased from n = 100 to n = 400, then the standard deviation of will decrease by a factor of 2. [ Select ] C. If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample proportion is approximately a binomial distribution. [ Select ] [Select] TRUE FALSEThe Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variable X is given below. k 5 6 7 8 9 10 P(X=k) 0.15 ? 0.1 0.25 0.1 0.2 a) The probability that at least 7 children will come to a party is [ Select 1 [ Select ] 0.35 b) The expected number of children that will attend this party is 0.1 v . E(x) = Ek . P(X = k). Write 0.65 answer to two decimal places. 0.55 c) If the standard deviation for the number of children per party is 1.72, then the variance will be [ Select ] Write answer to two decimal places. d) The probability that six or eight children will come to a party is [ Select ] e) The probability that more than 9 will come to a party is [ Select ] vThe Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variableX is given below. a] The probability that at least 7" children will come to a party is \"W\" V . b) The expected number of children that will attend this party is E[X)= \"emu\" V . 13(3) : Bk ' P[X : la]. Write . answer to two deCImal places. if: LIB c) If the standard deviation forthe number of children per party is 1.72, mi: ill be \"M\" V . Write answer to two decimal places. d} The probability.r that six or eight children will come to a pa rty is We\" V e}The probability that more than 9 will come to a party is [SW-ll V The Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variable X is given below. k 5 6 7 8 9 10 P(X=k) 0.15 0.1 0.25 0.1 0.2 a) The probability that at least 7 children will come to a party is [ Select ] b) The expected number of children that will attend this party is E(X)= [ Select ] v . E(x) = Ek . P(X = k). Write answer to two decimal places. c) If the standard deviation for the number of children per party is 1.72, then the variance will be [ Select ] Write [ Select ] answer to two decimal places. 1.31 1 7.55 d) The probability that six or eight children will come to a party is [ Select ] 2.96 e) The probability that more than 9 will come to a party is [ Select ]The Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variable X is given below. k 5 6 7 8 9 10 P(X=k) 0.15 ? 0.1 0.25 0.1 0.2 a) The probability that at least 7 children will come to a party is [ Select 1 b) The expected number of children that will attend this party is E(X)= [ Select ] E(x) = Ek . P(X = k). Write answer to two decimal places. c) If the standard deviation for the number of children per party is 1.72, then the variance will be [ Select ] Write answer to two decimal places. d) The probability that six or eight children will come to a party is [ Select ] [ Select] 0.2 e) The probability that more than 9 will come to a party is [ Select ] 0.25 0.45 0.60The Southside Bowling Alley has collected data on the number of children that come to birthday parties held at the bowling alley. Let the random variable X = the number of children per party. The distribution for the random variable X is given below. k 5 6 7 8 9 10 P(X=k) 0.15 0.1 0.25 0.1 0.2 a) The probability that at least 7 children will come to a party is [ Select ] b) The expected number of children that will attend this party is E(X)= [ Select 1 v . E(x) = Ek . P(X = k). Write answer to two decimal places. c) If the standard deviation for the number of children per party is 1.72, then the variance will be [ Select ] v Write answer to two decimal places. d) The probability that six or eight children will come to a party is [ Select ] e) The probability that more than 9 will come to a party is [ Select ] [ Select) 0.2 0.8 0.1 0.3A drug company claims their new flu vaccine cures 92% of patients. A family of five people is deciding on whe vaccine or not. Let X be the number of members in the family getting the flu. Binomial: P(X = k) = (*) . p* . (1 -p)"-k d . u = (x)H Var(X) = n . p . (1 -p) a) State the 4 conditions for the number of members in the family getting the flu to be a binomial. 1. Trials are fixed at n = 5 2. Two outcomes members getting the vaccine v 3. X is number of family members : with probability of success [ Select ] [Select ] p-921 4. Trials are Independent n'p-4.6 p-8%% n-S