Probability: Multiple choice questions
Not what you're looking for?
For questions 1-5 use the random variable X with values x = 2, 3, 4, 5 or 6 with P(x) = 0.05x.
1. Determine P (x = 4).
a. 0.05 b. 0.10 c. 0.15 d. 0.20
2. Find P (x >= 4).
a. 0.60 b. 0.45 c. 0.75 d. 0.55
3. What is P (2 < x <= 5)?
a. 0.70 b. 0.60 c. 0.45 d. 0.35
4. Give E (x).
a. 4.5 b. 4.75 c. 4.25 d. 5
5. Calculate sigma*x (note: see attachment).
a. 1.75 b. 2.121 c. 1.323 d. 3.063
For questions 6-10 use a binomial random variable X with n = 5 and p = 0.4.
6. Calculate the probability that x equals three.
a. 0.40 b. 0.913 c. 0.064 d. 0.2304
7. Determine the probability that x is at most two.
a. 0.337 b. 0.6826 c. 0.913 d. 0.317
8. Find the probability that x is at least two.
a. 0.0778 b. 0.663 c. 0.3370 d. 0.6826
9. What is the expected value of x?
a. 2 b. 2.5 c. 1.75 d. 2.25
10. Give the standard deviation of x.
a. 1.44 b. 1.09545 c. 1.2 d. 1
For questions 11-15 use a normal random variable X with mean sixty and standard deviation six.
11. Calculate the Z-score for x = 52.
a. 1.33 b. 0.4082 c. -1.33 d. 0.0918
12. Determine the value of x that is equivalent to a Z-score of 1.96.
a. 71.76 b. 61.96 c. 48.24 d. 76.71
13. Find the probability that x is between forty-five and seventy.
a. 0.9587 b. 0.0062 c. 0.0537 d. 0.9463
14. Give the probability that x is at most 78.5.
a. 0.999 b. 0.4990 c. 3.08 d. 0.001
15. What is the value of x such that P (X < x) is 0.3264?
a. -0.45 b. 57.3 c. 62.7 d. 0.45
Purchase this Solution
Solution Summary
The solution provides answers to multiple choice questions on binomial and normal probabilities. Workings are also included.
Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.