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

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

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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