Students in a class take a quiz with eight questions
Students in a class take a quiz with eight questions. The number x of questions answered correctly can be
approximated by the following probability distribution. Complete parts(a) through(e).
| x | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | |
| P(x) | 0.03 | 0.04 | 0.05 | 0.05 | 0.15 | 0.22 | 0.24 | 0.15 | 0.07 |
(a) Use the probability distribution to find the mean of the probability distribution. mu μ equals=_____?(Round to the nearest tenth as needed.)
(b) Use the probability distribution to find the variance of the probability distribution. sigma squared σ2 equals=_____?(Round to the nearest tenth as needed.)
(c) Use the probability distribution to find the standard deviation of the probability distribution.______?(Round to the nearest tenth as needed.)
(d) Use the probability distribution to find the expected value of the probability distribution._____?(Round to the nearest tenth as needed.)(e)
Interpret the results.A.
The expected number of questions answered correctly is 3.7 with a standard deviation of 1.9 questions.B.
The expected number of questions answered correctly is 1.9 with a standard deviation of 5.0 questions.C.
The expected number of questions answered correctly is 5.0 with a standard deviation of 0.03 questions.D.
The expected number of questions answered correctly is 5.0 with a standard deviation of 1.9 questions
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