Probability + time - practice problems - last page
Number of problems found: 37
- Assembly time
The assembly time for the toy follows a normal distribution with a mean of 75 minutes and a standard deviation of 9 minutes. The company closes at 5 pm every day. If one starts assembling at 4 pm, what is the probability that he will finish before the com - The shooter
The shooter shoots at the target, assuming that the individual shots are independent of each other and the probability of hitting them is 0.2. The shooter fires until he hits the target for the first time, then stop firing. (a) What is the most likely num - Statistically 25181
Statistically, in a city of 100,000 inhabitants, 600 people die in one year. During the year, 2,000 people received hospital treatment, and 120 of them died there. Calculate the probability that a citizen who comes to the hospital for treatment will die t - Birthday paradox
How large is the group of people so that the probability that two people have a birthday on the same day of the year is greater than 90%?
- Probability 8376
Three players roll the dice. They can start the game when a six is rolled. Everyone rolls 1 time. a) What is the probability that exactly one starts in the first round? b) What is the probability that at least two start? - Three shooters
Three shooters shoot, each time, on the same target. The first hit the target with 0.7, the second with 0.8, and the third with 0.9 probability. What is the probability of hitting the target: a) just once b) at least once c) at least twice - People 7331
How many people must be in a group for at least two of them to be born in the same month? - The big clock
The big clock hands stopped at a random moment. What is the probability that: a) a small hand showed the time between 1:00 and 3:00. b) the big hand was in the same area as a small hand in the role of a)? c) did the hours just show the time between 21:00 - Distribution 6282
The waiting time in the buffet is governed by the normal distribution with a mean value of 130 seconds and a variance of 400. What is the probability that someone will wait less than a minute and a half?
- Probability 5576
Jana rolls two dice at the same time. What is the probability that she will score a total of four points? - Probability 5077
They have four types of cakes in the patisserie. Anna always buys two at a time. What is the probability that he will get two spikes today? - Probability 3219
In recent years, it has rained 12 days in March. What is the probability that it rained on March 18? - Distribution 2645
The worker operates 600 spindles on which the yarn is wound. The probability of tearing the yarn on each spindle at time t is 0.005. a) Determine the probability distribution of the number of torn spindles at time t and the mean and variance. b) What is t - Ten dices
When you hit ten dice simultaneously, you get an average of 35. How much do you hit if every time you get six, you're throwing the dice again?
- TV fail
The TV has average 30 failures after 10,000 hours. Find the probability of TV failure after 300 hours of operation. - Pediatrician
Pediatrician, this month of 24 working days takes 6 days holidays. What is the probability that on Monday it will be at work? - Bulbs
The probability that the bulb can operate 4000 hours is 0.3. What is the probability that exactly one of the eight bulbs can operate 4000 hours?
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