Your company inspects car tires before final shipment. tires are judged to be either defective, or non-defective. The probability of a tire being found defective is 6%

1. What is the probability it will take 3 tests or fewer to find 2 defective tires?
2. What is the probability it takes more than 2 tests to find the first defective tire?
3. If the inspector randomly selects 30 tires from the holding area, what is the probability 4 tires will be found defective?

Giving a test to a group of students, the grades and gender are summarized below

If one student is chosen at random,

Find the probability that the student was male:

Find the probability that the student was female AND got a "A":

Find the probability that the student was female OR got an "B":

Find the probability that the student was female GIVEN they got a 'A':

LicensePoints possible: 12

A teacher looks at the scores on a standardized test, where the mean of the test was a 73 and the standard deviation was 9. Find the following

z-score table Link

1. What is the probability that a student will score between 73 and 90
2. What is the probability that a student will score between 65 and 85
3. What is the probability that a student will get a score greater than 70
4. What is the probability that a student will score more than 80
5. What score would give you the top 12.1%

An inspection by a quality officer found that in a large shipment of electronic parts, 0.025 are bad. The parts are tested using a machine that correctly identifies bad parts as defective with a probability of 0.96 and correctly identifies good parts as non-defective with a probability of 0.92.

(a) If a part is randomly sampled from the shipment and tested, calculate the probability that the testing machine identifies the part as defective.

(b) Given that the test indicates a non-defective part, calculate the probability that the part is truly good?

The amounts of money requested on home loan applications at Down River Federal Savings follow the normal distribution, with a mean of $72,000 and a standard deviation of $18,000. A loan application is received this morning. What is the probability that: (Round z-score computation to 2 decimal places and the final answer to 4 decimal places.) a. The amount requested is $86,000 or more? Probability b. The amount requested is between $61,000 and $86,000? Probability c. The amount requested is $61,000 or more? Probability

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. The mean arrival rate is passengers per minute.

a. Compute the probability of no arrivals in a one-minute period (to 6 decimals).

b. Compute the probability that three or fewer passengers arrive in a one-minute period (to 4 decimals).

c. Compute the probability of no arrivals in a -second period (to 4 decimals).

d. Compute the probability of at least one arrival in a -second period (to 4 decimals).

Calculate each binomial probability:

(a) Fewer than 5 successes in 11 trials with a 10 percent chance of success. (Round your answer to 4 decimal places.)

Probability =      

(b) At least 2 successes in 8 trials with a 30 percent chance of success. (Round your answer to 4 decimal places.)

Probability =   

(c) At most 10 successes in 18 trials with a 70 percent chance of success. (Round your answer to 4 decimal places.)

Probability =             

It is known that 72.3% of statistics students do their homework in time for it to be collected and graded. Each student does homework independently. Students are selected randomly. In a statistics class of 44 students, a. what is the probability that at least 29 students will do their homework on time? Use the binmial probability formula. Round your answer to 3 decimals. b. what is the probability that exactly 31 will do their homework on time? Use the binomial probability formula. Round your answer to 3 decimals.

1. For borrowers with good credit scores, the mean debt for revolving and installment accounts is $15,015. Assume the standard deviation is $3,540 and that debt amounts are normally distributed.

1. What is the probability that the debt for a borrower with good credit is more than $18,000?
2. What is the probability that the debt for a borrower with good credit is less than $10,000?
3. What is the probability that the debt for a borrower with good credit is between $12,000 and $18,000?
4. What is the probability that the debt for a borrower with good credit is no more than $14,000?

1. For borrowers with good credit scores, the mean debt for revolving and installment accounts is $15,015. Assume the standard deviation is $3,540 and that debt amounts are normally distributed.

1. What is the probability that the debt for a borrower with good credit is more than $18,000?
2. What is the probability that the debt for a borrower with good credit is less than $10,000?
3. What is the probability that the debt for a borrower with good credit is between $12,000 and $18,000?
4. What is the probability that the debt for a borrower with good credit is no more than $14,000?