# Need math help with Statistic Questions about student probabilities in a university

**Question description**

**Exhibit 5: **The
student body of a large university consists of 60% female students. A random
sample of 10 students is selected.

13. Refer to **Exhibit
5**. What is the probability that among the 10 students exactly two are
female?

a. 0.0896

b. 0.2936

c. 0.0413

d. 0.0106

14. Refer to **Exhibit
5**. What is the probability that among the 10 students at least 9 are
female?

a. 0.1064

b. 0.0463

c. 0.0168

d. 0.8936

**Exhibit 6: **On
average 6 cars arrive at a bank teller window in a ten minute time interval. It
can be assumed that the probability of an arrival is the same in any time
periods of equal length.

15. Refer to **Exhibit
6**. The probability that exactly 8 cars arrive in ten minutes is

a. 0.0241

b. 0.0771

c. 0.1126

d. 0.1033

16. Refer to **Exhibit
6**. The probability that there are less than 3 car arrivals in ten minutes
is

a. 0.0659

b. 0.0620

c. 0.1016

d. 0.1239

**Exhibit 7**:
The assembly time for a product is uniformly
distributed between 8 and 12 minutes.

17. Refer to **Exhibit 7**. The probability that the time to assemble the product
will take between 11 and 13 minutes is

a. 0.50

b. 0.25

c. 0.75

d. 0

18. Refer to **Exhibit
**7. The standard deviation of the assembly time is:

a. 1.1547

b. 1.1547 minutes

c. 1.3333

d. 1.3333 minutes

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