# probability and statistics

**TY0496**

1.) Assume that when adults with smartphones are randomly selected, 37%

use them in meetings or classes. If 20 adult smartphone users are randomly selected, find the probability that exactly 16 of them use their smartphones in meetings or classes.

The probability is?

(Round to four decimal places as needed.)

2.)Assume that when adults with smartphones are randomly selected, 58%

use them in meetings or classes. If 10 adult smartphone users are randomly selected, find the probability that at least 6 of them use their smartphones in meetings or classes.

The probability is?

(Round to four decimal places as needed.)

3.)Assume that when adults with smartphones are randomly selected, 54%

use them in meetings or classes. If 15 adult smartphone users are randomly selected, find the probability that fewer than 3 of them use their smartphones in meetings or classes.

The probability is?

(Round to four decimal places as needed.)

4.)Based on a poll, 60% of adults believe in reincarnation. Assume that 5

adults are randomly selected, and find the indicated probability. Complete parts (a) through (d) below.

**a. **The probability that exactly 4 of the 5 adults believe in reincarnation is?

(Round to three decimal places as needed.)

**b. **What is the probability that all of the selected adults believe in reincarnation?

**c. **What is the probability that at least 4 of the selected adults believe in reincarnation?

**d. **If 5 adults are randomly selected, is 4 a significantly high numberwho believe in reincarnation?

5.)Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5 Assume that the groups consist of

45 couples.

**a.** Find the mean and the standard deviation for the numbers of girls in groups of

45 births.

(do not round)

6.)Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 28.

**a. **Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 28.

- a year ago
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