Suppose the life of a particular brand of calculator battery is approximately normally distributed with a mean of 85 hours and a standard deviation of 10 hours. Complete parts a through c. E> a. What is the probability that a single battery randomly selected from the population will have a life between 80 and 90 hours? P(80 52$ 90) = 0.3829 (Round to four decimal places as needed.) b. What is the probability that 9 randomly sampled batteries from the population will have a sample mean life of between 80 and 90 hours? P(80 sis 90) = D (Round to four decimal places as needed.) Assume that females have pulse rates that are normally distributed with a mean of p = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. E) a. If 1 adult female is randomly selected, nd the probability that her pulse rate is less than 82 beats per minute. The probability is 0.7123 . (Round to four decimal places as needed.) b. If 16 adult females are randomly selected, nd the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is D. (Round to four decimal places as needed.) Given a normal distribution with p = 105 and o = 20, and given you select a sample of n = 16, complete parts (a) through (d)- Click here to view p_age 1 of the cumulative standardized normal distribution table. Click here to view p_age 2 of the cumulative standardized normal distribution table. E> a. What is the probability that )_( is less than 90? P()_( a. p = 0.45 (Round to two decimal places as needed.) b. up = D (Round to four decimal places as needed.) A survey of 2,150 adults reported that 54% watch news videos. Complete parts (a) through (c) below. E> a. Suppose that you take a sample of 50 adults. If the population proportion of adults who watch news videos is 0.54, what is the probability that fewer than half in your sample will watch news videos? The probability is D that fewer than half of the adults in the sample will watch news videos. (Round to four decimal places as needed.) A political pollster is conducting an analysis of sample results in order to make predictions on election night. Assuming a two-candidate election, if a specic candidate receives at least 54% of the vote in the sample, that candidate will be forecast as the winner of the election. You select a random sample of 100 voters. Complete parts (a) through (c) below. E) a. What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%? The probability is 0.2177 that a candidate will be forecast as the winner when the population percentage of her vote is 50.1%. (Round to four decimal places as needed.) b. What is the probability that a candidate will be forecast as the winner when the population percentage of her vote is 57%? The probability is D that a candidate will be forecast as the winner when the population percentage of her vote is 57%. (Round to four decimal places as needed.)