The distribution follows a binomial distribution with n=20, p=0.8, q=0.2
The values of the probabilities for various values of X are as below:
X | p(X) |
0 | 1.04858E-14 |
1 | 8.38861E-13 |
2 | 3.18767E-11 |
3 | 7.65041E-10 |
4 | 1.30057E-08 |
5 | 1.66473E-07 |
6 | 1.66473E-06 |
7 | 1.33178E-05 |
8 | 8.65659E-05 |
9 | 0.000461685 |
10 | 0.002031414 |
11 | 0.007386959 |
12 | 0.022160877 |
13 | 0.05454985 |
14 | 0.109099701 |
15 | 0.174559522 |
16 | 0.218199402 |
17 | 0.205364143 |
18 | 0.136909429 |
19 | 0.057646075 |
20 | 0.011529215 |
31. P(X=19) = C[20,19] x 0.819 x 0.21 = 0.0576
32. P(X>=19) = P(X=19) + P(X=20) = 0.0576 + 0.0115 = 0.0691
33. P(X<12) = 0.00998 ~ 0.01
According to a study, 80% of married people hide purchases from their mates. A random sample...
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Based on information from a previous study, r = 34 people out of a random sample of n = 101 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 101 adult Americans who did attend college, '2 = 47 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend...