The time to recharge the flash is tested in a particular type of camera. The probability that this type of camera passes the test is 0.8, and the cameras perform independently. What is the probability that the third failure occurs in less than 7 tests?

The probability of having 3 boys out of 4 children is to be determined.  A simulation is conducted in which the experimental probability is exactly equal to theoretical actual probability.  If the event occured 53 times during trials, how many trials were conducted.

On the average the traffic pattern at an intersection is as follows: • Twice as many cars go through as the number of vans, bicycles and trucks combined. • Twice as many vans go through as the number of bicycles and trucks combined. • Half as many trucks go through as the number of bicycles. Calculate the probability that the next vehicle to go through is a truck or a car. (19/27)

A professional tennis player claims to get 90% of her second serves in. In a recent match, the player missed 5 of her first 20 second serves. Is this a surprising result if the player's claim is true? Assume that the player has a 0.10 probability of missing each second serve. We want to carry out a simulation to estimate the probability that she would miss 5 or more of her first 20 second serves. The dotplot displays the number of second serves missed by the player out of the first 20 second serves in 100 simulated matches. ▪………………………. ●●●●●●●●●●●●●● A●●●●●●●● …………….. 1 2 3 4 5 6 Number of missed serves in simulated match 7 Is there convincing evidence that the player misses more than 10% of her second serves? Why or why not? No, there is not convincing evidence that the player misses more than 10% of her second serves. Missing 5 out of 20 is better than expected. No, there is not convincing evidence that the player misses more than 10% of her second serves. Assuming the player makes…

Assume that a student alarm clock has a 6.6 % daily  failure rate. What is the probability that the students alarm clock ill not work on the day of an important final exam?

A bag of equally-sized marbles contains 6 green marbles, 8 blue marbles, and 10 red marbles. Amber reached in the bag picked a marble without looking, recorded its color, and returned the marble to the bag. Her data is recorded in the table. G=22 B=16 R=10 Which color has matching theorectical and experimental probability