1 2 points Create a multiple choice question that you think

1. (2 points) Create a multiple choice question that you think might be on an exam. Please make up a problem related to material from the following lectures:

Lecture 9 (Section 4.3): Random variables

Lecture 10 (Section 4.3): Random variables and rules for means, variances, standard deviations

Lecture 11 (Section 5.3): Binomial distribution

Lecture 12 (Sections 4.3, 1.3): Continuous random variables (uniform and Normal, including 68-95-99.7 rule).

2. (1 point) Give the answer (For example: A, B, C, D) to your multiple choice question.

3. (2 points) EXPLAIN the answer in user-friendly terms, as if you were trying to teach a friend how to solve your problem

Solution

what is the E(X) for any random variable?

a) sum of x*P(X)      b) x*P(X)      c) x / P(X)            d) x^2 * P(X)

what is the sum P(X) for any distribution?

a) 0          b) 1.5           c)   1           d) 5

how percent is in the interval of miu +/- sigma in a normal distribution

a) 70%         b) 80%    c) 68%       d) 90%

how percent is in the interval of miu +/- 2*sigma in a normal distribution

a) 85%      b) 95%       c) 40%     d) 100%

what is the f(x) pdf of a uniform distribution if I only have the intervals of x that are 1 and 5

a) f(x)=1 / 4             b) f(x) = 1 /5 c) f(x) = 1 / 6    d) f(x)= 5 / 8