Probabilities for two variables in a population


Question 1: A breeder records probabilities for two variables in a population of animals using the two-way tablegiven here. Let A be the event ""shaggy and brown-haired."" Compute P(Ac).

Brown-haired Blond
Short-haired 0.06 0.23
Shaggy 0.51 0.20

A. 0.51
B. 0.77
C. 0.49
D. 0.36

Question 2: A breeder records probabilities for two variables in a population of animals using the two-way tablegiven here. Given that an animal is brown-haired, what is the probability that it's short-haired?

Brown-haired Blond
Short-haired 0.06 0.23
Shaggy 0.51 0.20

A. 0.06
B. 0.222
C. 0.0306
D. 0.105

Question 3: In the binomial probability distribution, p stands for the:

A. number of trials.
B. probability of success in any given trial.
C. probability of failure in any given trial.
D. number of successes.

Question 4: The possible values of x in a certain continuous probability distribution consist of the infinite number of values between 1 and 20. Solve for P(x = 4).
A. 0.03
B. 0.05
C. 0.02
D. 0.00

Question 5: An apartment complex has two activating devices in each fire detector. One is smoke-activated and hasa probability of .98 of sounding an alarm when it should. The second is a heat-sensitive activator and has aprobability of .95 of operating when it should. Each activator operates independently of the other. Presumea fire starts near a detector. What is the probability that both activating devices will work properly?

A. 0.965
B. 0.931
C. 0.9895
D. 0.049

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Basic Statistics: Probabilities for two variables in a population
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