Statistics and Probability Answers

From a group of 7 men and 5 women a 4 person committee is chosen what is the probability that all 4 are men or all 4 are women?

Debonairs Pizza discovered that their Pizza delivery times are normally distributed with a mean of 45 minutes and standard deviation of 8 minutes. What is the probability that: a) The Pizza they delivered last took between 45 minutes and 50 minutes to deliver b) The next Pizza will take less than 47 minutes to deliver

Define the moment-ratios β1 and β2.

Three missiles are fired at a target. If the probability of hitting the target are 0.3,

0.6, and 0.5 respectively. Consider that the missiles are fired independently, what

is the probability?

i) That all the missiles hit the target?

ii) That at least one hit the target?

iii) That exactly 2 hit the target?

Q.3(a)

A local hardware store has a “Savings Wheel” at the checkout. Customers get to

spin the wheel and, when the wheel stops, a pointer indicates how much they will

save. The wheel can stop in any one of 50 sections. Of the sections, 10 produce

0% off, 20 sections are for 10% off, 10 sections for 20%, 5 for 30%, 3 for 40%,

1 for 50%, and 1 for 100% off. Assuming that all 50 sections are equally likely,

a. What is the probability that a customer’s purchase will be free (100% off)?

b. What is the probability that a customer will get no savings from the wheel

(0% off)?

c. What is the probability that a customer will get at least 20% off?

Three missiles are fired at a target. If the probability of hitting the target are 0.3,

0.6, and 0.5 respectively. Consider that the missiles are fired independently, what

is the probability?

Two coins are tossed.Let T the number of tails that occur

a.Construct the probability distribution for the random variable T.

b. Construct The probability histogram.

Two coins are tossed.Let T the number of tails that occur

a.Construct the probability distribution for the random variable T.

b. Construct The probability histogram.

The dean of a particular college is wanting to find out the proportion of students who are

interested to enroll in online classes. He made a pre-survey and learned that a proportion of 30%

were for the program. How many students will he interview if he is 90% confident and that he

considers a margin of error of 4% in conducting the study?

The mathematics club of RAD Senior High School organized a raffle where the prize is the latest edition of a certain brand of the calculator. the raffle aims to raise funds for their club. they were able to sell 1000 tickets that cost 5 pesos each. if they spent 3500 on the prize, what will be the expected gain of a student who will buy one ticket?