Assume that females have pulse rates that are normally distributed with a mean of µ = 75.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is less than 82 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean less than 82 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the ormal distributio used in part (b), even though the sample size does not exceed 30? O A. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O C. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O D. Since the mean pulse rate exceeds 30, the distribution of sample means a normal distribution for any sample size.

A subway train arrives every eight minutes during rush hour. We are interested in the length of time a commuter must wait for a train to arrive. The time follows a uniform distribution. a. Find the mean, μ = b. Find the standard deviation, σ =              Round to the nearest tenth.

Find the indicated probability and interpret the result. From 1975 through 2020, the mean annual gain of the Dow Jones Industrial Average was 651. A random sample of 32 years is selected from this population. What is the probability that the mean gain for the sample was between 400 and 700? Assume o = 1540. The probability is (Round to four decimal places as needed.)

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Systolic Blood Pressure Assume that the mean systolic blood pressure of normal adults is 120 millimeters of mercury (mmHg) and the standard deviation is 5.6. Assume the variable is normally distributed. Round the answers to at least 4 decimal places and intermediate z-value calculations to 2 decimal places. Part 1 of 3 If an individual is selected, find the probability that the individual's pressure will be between 117.3 and 120 mmHg. P(117.3 < X < 120) = 111 Part: 1/3 - Part 2 of 3 If a sample of 28 adults is randomly selected, find the probability that the sample mean will be between 117.3 and 120 mmHg. Assume that the sample is taken from a large population and the correction factor can be ignored. P(117.3 < X < 120) = Next Part olo Submit Assignment 2020 meoraw Thill LLC. All Rights Reserved. Terms of Use | Privacy Center

A class is given an exam. The distribution of the scores is normal. The mean score is 78 and the standard deviation is 11. Determine the test score, c such that the probability of a student having a score greater than c is 46%. P(x>c)=0.46

The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3484 grams and a variance of 160,000. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be greater than 4124 grams. Round your answer to four decimal places. Answer esc F If you would like to look up the value in a table, select the table you want to view, then either click the cell at the intersection of the row and column or use the arrow keys to find the appropriate cell in the table and select it using the Space key. ngle. 1 1 9 a Z @ 2 W S X # 3 e d C C $ 4 r f نے % 5 V t g Normal Table -00 to-z Normal Table - to z Oll 6 b y hp h & 7 u n * 8 j N O i m ( 9 k * O ) 0 1 alt р > : Tables ; Keypad Keyboard Shortcuts Submit Answer { ctrl AD + Oct 27 = ? 11 1 6:25 O backspace 1 USE YOUR SMARTPHON Reviews Videss B 55

Assume that females have pulse rates that are normally distributed with a mean of μ=74.0 beats per minute and a standard deviation of σ=12.5 beats per minute. Complete parts​ (a) through​ (c) below.       Question content area bottom Part 1 a. If 1 adult female is randomly​ selected, find the probability that her pulse rate is between 67 beats per minute and 81 beats per minute.   The probability is 0.42450.4245. ​(Round to four decimal places as​ needed.) Part 2 b. If 4 adult females are randomly​ selected, find the probability that they have pulse rates with a mean between 67 beats per minute and 81 beats per minute.   The probability is enter your response here. ​(Round to four decimal places as​ needed.)