Assume that females have pulse rates that are normally distributed with a mean of = 72.0 beats per minute and a standard deviation of = 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 78 beats per minute.

The probability is ____.

(Round to four decimal places as needed.)

 

b. If 16 adult females are randomly selected. find the probability that they have pulse rates with a mean less than 78 beats per minute.

The probability is ____.

(Round to four decimal places as needed.)

 

c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30?

◯ A. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.

◯ B. Since the original population has a normal distribution, , the distribution of sample means is a normal distribution for any sample size.

◯ C. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size.

◯ D. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size.

A  Compute and interpret the mean of the random variable x

B Compute the standard deviation of the random variable x.

C. What is the probability that a randomly selected student has a parent involved in three activities?

D  What is the probability that a randomly selected student has a parent involved in three or four activities?

E.

In the following probability distribution, the random variable x represents the number of activities a K to the 5th-grade student is involved in.

Complete parts (a) through (f) below.

   x           0              1               2               3               4

P(x)      0.299       0.145         0.234        0.053         0.269

(a) Verify that this a discrete probability distribution.

three randomly selected households are surveyed the numbers of people in the households are 2,6 and 7 assume that samples of size n=2 are randomly selected with replacement from the population of 2,6 and 7 listed below are the nine different samples

2,2 2,6 2,7 6,2 6,6 6,7 7,2 7,6 7,7

A) find the variance of each of the nine samples then summerize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values

Assume a normal distribution and find the probability P(x<21 | mean=24 and sd=3).