A study conducted at a certain college shows that 60% of the school\'s graduates

Question

A study conducted at a certain college shows that 60% of the school's graduates obtain a job in their chosen field within a year after graduation. Use Table I to find the probabilities that, within a year after graduation, among 14 randomly selected graduates of that college (a) at least 6 will find a job in their chosen field; (b) at most 3 will find a job in their chosen field; (c) anywhere from 5 through 8 will find a job in their chosen field. Research shows that 30% of all women taking a certain medication do not respond favorably. Use Table I to find the probabilities that among nine randomly selected women taking the medication a) at least four will respond favorably; (b) at least four will not respond favorably. A study has shown that 50% of the families in a certain large area have at least two cars. Find the probabilities that among 15 families randomly selected in this area (a) 7 have at least two cars; (b) more than 8 have at least two cars;

Explanation / Answer

6.15. This is binomial distribution as it satifies all the conditions of binomial distribution

1: The number of observations n is fixed.

2: Each observation is independent.

3: Each observation represents one of two outcomes ("success" or "failure").

4: The probability of "success" p is the same for each outcome.

a. P(x>=6)=ncx*p^x*(1-p)^n-x=0.9417

b. P(x<=3)=0.0039

c. P(5<=x<=8)=0.4966

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