Unit 11 Probability Distribution Review Math 4

Front

Given the probability model in the table below, what is the expected value of the random variable?
  X        50          20        5
P(X)     0.1         0.3      0.6

Back

14

Front

If the expected value is negative, are you expected to win?

Back

no

Front

Find the mean (expected value) of the probability distribution.

Back

84.4

Front

Back

0.05

Front

Is this a probability distribution?

Back

No, the sum of p(x) does not equal 1.

Front

Which of the following is NOT an assumption of the Binomial distribution? Options: All trials must be independent., Each trial must be classified as a success or a failure., All trials are dependent on each other., The number of successes in the trials is counted.

Back

All trials are dependent on each other.

Front

What is the probability of getting exactly 3 questions correct on a 6-question multiple choice test with 4 choices each?

Back

0.132

Front

Bob is taking a 100 question test. He has a 90 % probability of getting any one question correct. WHICH IS THE CORRECT FORMULA TO FIND OUT THE PROBABILITY that he will answer EXACTLY 70 questions correctly? Options: ₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

Back

₁₀₀C₇₀ ( 0.10 )³⁰ ( 0.90 )⁷⁰

Front

Expand the expression using the Binomial Theorem: (2x+5)⁴

Back

16x⁴ + 160x³ +600x² +1000x + 625

Front

Find the 6th term in the expansion of (3x+2)⁸

Back

48384x³