# Recently Submitted Homework Problems: probability

2066. You are an accountant who is performing the annual audit of the accounts at Hookem, Billem, and Soakem, a large cellular telephone company. From past experience it is known that 6% of the accounts at Hookem, Billem, and Soakem have errors.Question 1. What is the probability that the first account with an error is the 5th audited account?

1 (use 4 decimal places in your answer)

Question 2. What is the expected number of accounts that you will audit until you find the first error?

2 (use 2 decimal places in your answer)

Question 3. What is the probability that the first account with an error is among the first 6 accounts that you check?

3 (use 4 decimal places in your answer)

(Answered)

3095. Three freshmen and three sophomores are to be seated in a row. Find the number of seating arrangements if the freshmen are on the left and the sophmores are on the right.(Answered)

3229. J is chosen at random from the set {4,5,6} and K is chosen at random from the set {10,11,12}, what is the probability that that product of j and k is divisible by 5?(Answered)

3391. In one area of an orchard, there are 18 trees, of which 10 are bushy and 8 lean. Suppose that the trees are located in two rows: Row A has 8 trees of which 4 are bushy, and row B has 10 trees of which 6 are bushy. Two trees are to be randomly selected from each row for testing the spray, and the selections are independent for the two rows. Find the probability that the trees selected in row A are both bushy and those selected in row B are both lean. Round the answer to 3 decimal places(Answered)

3455. This spinner is spun 36 times. The spinner landed on A 6 times, on B 21 times, and on C 9 times. Compute the empirical probability that the spinner will land on B.(Answered)

3514. four coins are tossed what is the probabilty of all heads? (Answered)

3565. The probability that a bulb produced by a factory will fuse after certain period of time is 0.05. Find the probability thatout of 5 such bulbs

a. None fuses

b. Not more than 2 fuse c. More than 2 fuse(Answered)

3612. Melissa has a student dictionary on her desk. Her dictionary contains 75 pages. In this dictionary, more words start with the letter "S" than any other letter, occupying 10 full pages.

If she opens up the dictionary at random, what is the probability that the page contains words starting with "S"?(Answered)

4122. in a bag there are 2 red, 3 yellow, 4 green, and 6 blue marbles.

What is the probability ofP(blue)(Answered)

4294. A total of 192 shoppers at a large suburban mall were asked two questions:

1. Did you see a TV ad for the sale at store M?

2. Did you shop at store M?

81 shoppers indicated they had seen the advertisement; 60 had seen the ad and did not shop at M; 93 shoppers had not shopped at M. One of the shoppers is chosen at random. What is the probability that the person saw the ad and shopped at M? ( 2 dec pl)(Answered)

4422. 2. Consider a normal distribution with a mean of 500 and a standard deviation of 50.

a. Below what value can we expect to have the lowest 20%?

b. Between what values can we expect to find the middle 80%?

3. The lifetime of the light bulbs produced by Filip Company are normally distributed with a mean of 1, 150 hours and a standard deviation of 175 hours.

a. What is the probability that a random chosen light bulb will have a lifetime of more than 1,000 hours?

b. What the percentage of the light bulbs would be expected to last between 1,000 and 1,500?

(Answered)

4675. a committee of eight members is to be formed from a group of eight men and eight women. If the choice of committee members is made randomly, what is the probability that precisely half of these members will be women?(Answered)

5584. 1. What is the probability that in an arrangement of BUTTERED TOAST the O and A or the E and T are adjacent?

2. When drawing 4 marbles from out of a bag with 8 red and 4 blue, what is the probability that at least one blue and red is pulled? (No replacement)

3. A box has a group of 24 blocks in it. Some are red, some are yellow, and some are a mixture of the two colours. The probability of drawing a block with red on it is 1/3. The probability of drawing a red and yellow block is 1/12. Determine the number of blocks with yellow on them. (Answered)