4, A) Your team examines the age of customers because they want to target the 33 and under demographic.

Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps or in StatCrunch.

What is the probability that a single randomly selected online transaction from the current week is from a customer that is less than 33 years old? Enter the probability below IF it can be computed with the given information/data. Enter "DNE" if the question cannot be answered with the given information/data. HINT: Be sure you look at the distribution of the data.

Answer =(Submit your answer rounded to 4 decimal places, if appropriate)

B) Your team selects a simple random sample of 76 online transactions from the current week (and continues to assume that the data set represents the population well).

What is the probability that the random sample has a mean age that is less than 42 years? Enter the probability below IF it can be computed. Enter "DNE" if the question cannot be answered with the given information/data.

Answer =(Submit your answer rounded to 4 decimal places, if appropriate)

5, A) One of your team's goals is to figure out how to significantly increase the number of online sales that are 145 dollars or more.

What is the probability that a single randomly selected online transaction is greater than 145 dollars? Enter the probability below IF it can be computed. Enter "DNE" if the question cannot be answered with the given information/data. HINT: Be sure you look at the distribution of the data.

Answer =(Submit your answer rounded to 4 decimal places, if appropriate)

B) Your team selects a simple random sample of 77 online transactions from the current week (and continues to assume that the data set represents the population well).

What is the probability that the random sample has a mean that is greater than 145 dollars? Enter the probability below IF it can be computed. Enter "DNE" if the question cannot be answered with the given information/data.

Answer =(Submit your answer rounded to 4 decimal places, if appropriate)

6, Based on historical data, your team knows what proportion of the company's number of orders come from Indiana residents. However, your team would like to expand its orders beyond the state of Indiana. By the end of this year, you think you would like your total proportion of orders from Indiana to be between 0.69 and 0.74. If you took a simple random sample of 72 current orders, what is the probability that the sample proportion of sales to Indiana residents is between 0.69 and 0.74? (Note: this problem is asking about the number of orders, not the dollar amounts.)

Note: You should carefully round any intermediate calculations to 4 decimal places to match wamap's approach and calculations. After you round to 4 places, use THAT rounded value in later steps. You may need an appropriate population proportion (which you actually found in a previous problem).

Answer =(Enter your answer as a number accurate to 4 decimal places.)

7, Based on historical data, your team knows what proportion of the company's orders come from Males (and Females). However, your team would like to expand its sales so that men are more proportionately represented. By the end of this year, you think you would like your total proportion of sales to males to be at least 0.45. If you took a simple random sample of 56 current orders, what is the probability that the sample proportion of male customers is greater than 0.45?

Q1: (8 point, 2 point each part) For each of the following part calculate the probability. a) X has a normal distribution with mean 65 and standard deviation 5. P(62 7) = HThe number of dogs per household in a small town FEFELITE Dogs 0 2 3 4 5 Probability 0.630 0.230 0.090 0.027 0.016 0.007 Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution, H= (Round to one decimal place as needed.) Find the variance of the probability distribution. (Round to one decimal place as needed. ) Find the standard deviation of the probability distribution. (Round to one decimal place as needed. ) Give the formulas and show all working for the computation of the variance and standard deviation. Write out on paper, take a pho SUBMISSIONS WILL BE GRADEDMean, Variance, and Standard Deviation for the Binomial Distribution The mean, variance, and the standard deviation of a variable that has the binomial distribution can be found by using the following formulas. Mean : H = n . p Variance: 02 =n. p.q Standard deviation: o = n . p.q Example # 23: Find the mean, variance, and standard deviation for the number of heads when ten coins are tossed. Example # 24: If 3% of calculators are defective, find the mean, variance, and standard deviation of a lot of 300 calculators.5.54 Suppose the random variable X has the probability d. distribution given in the table below. 2 3 5 7 11 13 5.58 p(x) | 0.15 0.25 0.15 0.10 0.30 0.05 100 chil a. Find the mean, variance, and standard deviation of X. exa b. Suppose the random variable Y is defined by Y = 2X + 1. but Find the mean, variance, and standard deviation of Y. fai c. Suppose the random variable W is defined by nu W = X' + 1. Find the mean, variance, and standard ar deviation of W. ta