A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the mean of the distribution? X: 2 3 5 8 10 --------------------------------------------------------------------- P(x): 0.10 0.20 0.30 0.30 0.10 5 7 6 0
A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its
X: 2 3 5 8 10
---------------------------------------------------------------------
P(x): 0.10 0.20 0.30 0.30 0.10
- 5
- 7
- 6
- 0
16) _______________
17) For a binomial distribution, which probability is not equal to the probability of 1 success in 5 trials where the probability of success is .4?
- A) the probability of 1 success in 5 trials where the probability of failure is .6
- B) the probability of 4 failures in 5 trials where the probability of failure is .6
- C) the probability of 4 failures in 5 trials where the probability of success .4
- D) the probability of 4 failures in 5 trials where the probability of success is .6
17) ______________
18) It a recent study of college students indicated that 30% of all college students had at least one tattoo. A small private college decided to randomly and independently sample 15 of their students and ask if they have a tattoo. Find the standard deviation for this binomial random variable. Round to the nearest hundredth when necessary.
- A) 5
- B) 5
- C) 15
- D) 77
18) ________________
19) Suppose a man has ordered twelve 1-gallon paint cans of a particular color (lilac) from the local paint store in order to paint his mother’s house. Unknown to the man, three of these can contains an incorrect mix of paint. For this weekend’s big project, the man randomly selects four of these 1-gallon cans to paint his mother’s living room. Let x = the number of the paint cans selected that are defective. Unknown to the man, x follows a hypergeometric distribution. Find the standard deviation of this distribution.
- A) 545
- B) 297
- C) 1
- D) 739
19) _______________
A discrete random variable x can assume five possible values: 2, 3, 5, 8, 10. Its probability distribution is shown below. Find the probability that the random variable x is a value greater than 5.
X: 2 3 5 8 10
---------------------------------------------------------------------
P(x): 0.10 0.20 0.30 0.30 0.10
A. 3
B. 70
C. 40
D. 60
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