In April 2025
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Hammer It Out is a panel beater business in Silverton, Pretoria, that repairs cars that have been involved in accidents. It finds that it receives cars for repair at a rate of 3 per day.
Calculate the probability of Hammer It Out receiving 20 cars for repair during a random week (they operate 5 days a week).
the probability of observing defective item in a lot is 0.01.suppose 25 items are inspected from the lot,what is the probability that not more than 3 defective are found, exactly 4 defective are found.(max 1024)
A random sample of size 36 was taken from the population with a mean of 3.4 and a variance of 4. Approximately the probability that the sample mean is greater than 3.0 but less than 3.6
given a population of 2000 normally distributed stores with mean equal to 74, and a standard deviation of 6. How many scores are between 50 and 70?
Currently, all of SMO operations are carried out on two separate production lines, one driven by a new PC machine and the other by a relatively older machine. Recent monitoring of each machine show that the probability of failure in the new one is 0.3 % and in the old one is 0.7%. Given that the quality assurance department insists on a probability of 99.999% that at least one machine is working at all times, advise SMO if this condition is being satisfied.
Currently, all of SMO operations are carried out on two separate production lines, one driven by a new PC machine and the other by a relatively older machine. Recent monitoring of each machine show that the probability of failure in the new one is 0.3 % and in the old one is 0.7%. Given that the quality assurance department insists on a probability of 99.999% that at least one machine is working at all times, advise SMO if this condition is being satisfied.
The mean gasoline computation of 10 cars is 28 liters with a standard deviation of 1.60 liters. Find the point and the interval estimate using 95% confidence level, what is the confidence level
The weight of 1000 children average 50 kg and the standard deviation is 5kg. What is the Area under the normal curve that corresponds to the z-score of 55
kg?
If 𝑃(𝑍 < 2) = 0.9772, what is 𝑃(𝑍 ≤ 2)?
2. The mean height of Grade 11 students at a certain senior high school is 164 cm. and the standard deviation is 10 cm. Assuming that the heights are normally distributed, what percent of the height is
a. greater the 168 cm?
b. less than 150 cm
c. between 150 and 168
