Statistics and Probability Answers

3. Each of 12 refrigerators of a certain type has been returned to a distributor because of an audible, high-pitched, oscillating noise when the refrigerator is running. Suppose that 7 of these refrigerator have defective compressor and the other 5 have less serious problems. If the refrigerators are examined in random order. Let X be the number among the first 6 examined that have a defective compressor. What is the probability that X exceeds its mean value by more than 1 standard deviation
4. The error involved in making a certain measurement is a continuous rv X with pdf
f(x)={0.09375(4−x 2 )0 −2≤x≤2otherwise f(x)={0.09375(4−x2)−2≤x≤20 otherwise compute P(-1<x<="" span=""> </x

1. A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A)= 0.6 and P(B) =0.05. What is P(P|A)?
2. Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components. 30% contain one defective component, and 20% contain two defective components. Two components from a batch are randomly selected and tested. What are the probabilities associated with 0.1, and 2 defective components being in the batch under the condition that neither tested component is defective.

We want to test the hypothesis that the mean weight of a product is 16g against the hypothesis that it is 15.7 g. A sample of 49 products gives us a mean weight of 15.85 with a standard of deviation of 0.7 g. Find the critical region of the test with a significance level of 10%. What is the type II error? (Answer: 0.0427)

When a customer places an order with Candy's on-line supermarket, a computerized accounting information system automatically checks to see if the customer has exceeded his or her credit limit. Past records indicate that the probability of customers exceeding their credit limit is 0.05. Suppose that on a given day 20 customers places orders.
1. What are the mean and standard deviation of the numbers of customers exceeding their credit limits?
2. What is the probability that zero customers will exceed their limits?
3. What is the probability that one customer will exceed his or her limit?
4.What is the probability that at least two customers will exceed their limits? ''.

What's the probability that zero customers will exceed their limits

potholes requiring repairing occur at an average rate of 3.2 potholes per kilometer. what is the probability that no potholes require repair in 5km road and what ia the probability that at most 3 potholes require a 200meter repair

An urn contains 4 white balls and 7 red balls four balls are selected. In how many ways can the 4 balls be drawn from the total of 11 ​balls:
​(a) If 3 balls are white and 1 is​ red?
​(b) If all 4 balls are​ white?
​(c) If all 4 balls are​ red?

1. If a woman has 10 blouses, 6 skirts and 4 pairs of shoes, in how many ways can she choose two dresses and two pairs of shoes assuming any combination of blouse, skirt and pair of shoe matches
2. Let A and B be any two events defined on the same sample spaceSuppose P(A) = 0.3 and P(A U B) = 0.6. Find P(B) such that A and B are mutually exclusive.
3. A group of students consist of 4 men, 6 women and 5 transgender The students are ranked according to their performance in a quiz competition. Assuming no two students obtain the same score, how many ranking are possible if each category of students are ranked among themselves?
4. A certain shop repairs both audio and video components. Let A denote the event that the next component brought in for repair is an audio component, and let B be the event that the next component is a compact disc player (so the event B is contained in A). Suppose that P(A)= 0.6 and P(B) =0.05. What is P(P|A)?

1. If 55% of companies in Tokyo own an answering machine, what is the probability that 3 of the next 4 randomly selected companies in Tokyo will own an answering machine?
2. A red die and a green die are rolled once. Find the conditional probability that the number on red die is odd, given that the sum of the two numbers showing is 9
3.A bus starts with 8 people and stops at 9 different stops. how many different ways can the 8 people depart if no two passengers can leave at the same bus stop
4. Let A and B be any two events defined on the same sample space. Suppose P(A) = 0.3 and P(A U B) = 0.6. Find P(B) such that A and B are independent.

Q. 4 oranges are mixed accidentally with 16 good oranges.find the probability distribution of the number of bad oranges in a draw of two orange