The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 64.4% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. Let the random variable X=X= the number that reply "yes", X∼B(8,0.644) (a) Construct the probability distribution function (PDF). Round your answers to four decimal places. x P(x) 0 1 2 3 4 5 6 7 8 (b) On average (μμ), how many would you expect to answer yes? Round your answer to two decimal places. μ= (c) What is the standard deviation (σσ)? Round your answer to two decimal places. σ=
The Higher Education Research Institute at UCLA collected data from 203,967 incoming first-time, full-time freshmen from 270 four-year colleges and universities in the U.S. 64.4% of those students replied that, yes, they believe that same-sex couples should have the right to legal marital status. Suppose that you randomly pick eight first-time, full-time freshmen from the survey. You are interested in the number that believes that same sex-couples should have the right to legal marital status. Let the random variable X=X= the number that reply "yes", X∼B(8,0.644)
(a) Construct the
Round your answers to four decimal places.
| x | P(x) |
|---|---|
| 0 | |
| 1 | |
| 2 | |
| 3 | |
| 4 | |
| 5 | |
| 6 | |
| 7 | |
| 8 |
(b) On average (μμ), how many would you expect to answer yes?
Round your answer to two decimal places.
μ=
(c) What is the standard deviation (σσ)?
Round your answer to two decimal places.
σ=
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