The number of seconds XX after the minute that class ends is uniformly distributed between 0 and 60. Round all answers to 4 decimal places where possible.

1. What is the probability that the average of 40 classes will end with the second hand between 26 and 30 seconds?

In a gross (144) of transistors, there are 2 defective ones. Three (3) transistors are selected randomly. a. what is the number of ways one can select exactly one defective transistor among the three? b. what is the probability of selecting exactly one defective transistor among the three?

A survey indicates that approximately 67% of adults oppose raising the Medicare eligibility age from 65 to 67. If 80 adults are randomly selected, find the probability that the number who oppose raising the age, will be a) at most 60; b) more than 40; c) exactly 50?

A survey indicates that approximately 67% of adults oppose raising the Medicare eligibility age from 65 to 67. If 80 adults are randomly selected, find the probability that the number who oppose raising the age, will be a) at most 60; b) more than 40; c) exactly 50?

A sample of ten items is selected without replacement from a group of 100 object 40 of which are defective. What is the probability that this sample will contain three defective items?

using R for number of defective items in the sample being 0, 1, 2,3, …, 10. Graph the distribution.

Your unfair coin comes up heads with probability 0.6. You flip it until you get four heads in a row. Let t be the expected number of times you flip. Write an equation for t. (Your equation, if solved, should give the value of t).

A box of Freiholer's donuts has 4 plain donuts, and 4 cinnamon donuts. which probability model would you use to describe the number of cinnamon donuts in a sample of 3 donuts selected from the box?

A) hypergeometric

B) binomial

C) geometric

S) poisson

The number of plants pollinated by bees follows a normal distribution with a mean of 6,543 plants pollinated a day with a standard deviation of 35 plants per day. What is the probability that between 6,500 and 6,530 plants were pollinated?

Group of answer choices

0.1654

0.2464

0.2501

0.465

Claims arrive to an insurance company according to a Poisson Process. The average number of claims reported every day is 2.5. It has been reported that 15% of these claims are fake. What is the probability that in a week of five business day 10 claims arrive and one of these is fake? ONLY ANSWERRRRR

Poissson distribution

In order to control the polishing quality of a lens, a certain company is used to finish the number of spots on the surface considering the defective lens if 3 or more spots appear on it. The average rate is 2 defects per cm2. Calculate the probability that a 4cm2 lens will not be classified as defective.