The scores from a state standardized test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the Empirical Rule to find the percentage of students with scores between 70 and 130.
A) 95 B) 68 C) 99.7 D) 100
Q. 2Among the contestants in a competition are 35 women and 20 men. If 5 winners are randomly selected, what is the probability that they are all men?
A) 0.00446 B) 0.04776 C) 0.10436 D) 0.06093
Q. 3A IRS auditor randomly selects 3 tax returns from 42 returns of which 15 contain errors. What is the probability that none of the returns she selects contains an error?
A) 0.2548 B) 0.2657 C) 0.0456 D) 0.0396
Q. 4An electronics store receives a shipment of 59 flat screen TVs of which 6 are defective. During the quality control inspection, 3 TVs are selected at random from the shipment for testing.
The shipment will only be accepted if all 3 TVs pass the inspection. What is the probability that the shipment will be accepted? A) 0.7206 B) 0.7249 C) 0.0011 D) 0.0006
Q. 5In a lottery, a player selects six numbers between 1 and 36 inclusive. The six winning numbers (all different) are selected at random from the numbers 1-36. To win a prize, the player must match three or more of the winning numbers.
What is the probability that the player matches exactly 3 numbers? A) 0.0417 B) 0.0347 C) 0.0486 D) 0.0521
Q. 6A university must choose a team of 6 students to participate in a TV quiz show. The students will be chosen from a pool of 32 potential participants of whom 14 are women.
If the 6 students are chosen at random, what is the probability that the team will contain 2 women? A) 0.3073 B) 0.2766 C) 0.2874 D) 0.2587
Q. 7A manufacturer receives a shipment of 170 laptop computers of which 11 are defective. To test the shipment, the quality control engineer randomly selects 20 computers from the shipment and tests them.
The random variable X represents the number of defective computers in the sample. What is the probability of obtaining 3 defective computers? A) 0.0971 B) 0.0991 C) 0.0891 D) 0.0923
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