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Laabri

Binomial vs. Geometric Distributions

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Last updated 6 months ago
18 Nsɛmmisa
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Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Suppose it is known that 80% of the people exposed to the flu virus will contract the flu. Out of a family of six exposed to the virus, what is the probability that no one will contract the flu? Round to 6 decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
2.

Suppose it is known that 80% of the people exposed to the flu virus will contract the flu. Out of a family of six exposed to the virus, what is the probability that all will contract the flu? Round to three decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
3.

Suppose it is known that 80% of the people exposed to the flu virus will contract the flu. Out of a family of six exposed to the virus, what is the probability that exactly two will get the flu? Round to 5 decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

Suppose it is known that 80% of the people exposed to the flu virus will contract the flu. Out of a family of six exposed to the virus, what is the probability that at least two will get the flu? Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

Suppose it is known that 80% of the people exposed to the flu virus will contract the flu. Out of a family of six exposed to the virus, how many would you expect to get the virus?

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Suppose we have data that suggest that 3% of a company’s hard disk drives are defective. What is the probability that the first defective hard drive is the fifth unit tested. Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Suppose we have data that suggest that 3% of a company’s hard disk drives are defective. What is the probability that the first defective hard drive is the second, third, or fourth unit tested. Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Suppose we have data that suggest that 3% of a company’s hard disk drives are defective. We need to find the defective drives. How many drives should we expect to inspect before we find a defective one? Round to two decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Suppose X has a geometric distribution with p = 0.1. Find: P(X = 7). Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Suppose X has a geometric distribution with p = 0.1. What is the mean? (expected value)?

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

Suppose X has a geometric distribution with p = 0.1. Find P(X = 10). Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

Suppose X has a geometric distribution with p = 0.1. Find P(7 ≤ X ≤ 10). Round to four decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Suppose X has a geometric distribution with p = 0.1. Find P(X ≤ 3). Round to three decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
14.

Suppose X has a geometric distribution with p = 0.1. Find: P(X > 5). Round to five decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

The probability of Susie winning at Rock, Paper, Scissors is .25. She plays three games. What is the probability of her winning all three games? Round to six decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

The probability of Susie winning at Rock, Paper, Scissors is .25. She plays three games. What is the probability of her winning two games? Round to six decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

The probability of Susie winning at Rock, Paper, Scissors is .25. She plays three games. What is the probability of her winning one game? Round to six decimal places.

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

The probability of Susie winning at Rock, Paper, Scissors is .25. She plays three games. What is the probability of her winning no games? Round to six decimal places.