Binomial distribution - practice problems

Direction: Solve each problem carefully and show your solution in each item.

Number of problems found: 102

Distribution function
X 2 3 4 P 0.35 0.35 0.3 The data in this table do I calculate the distribution function F(x) and then probability p(2.5 < ξ < 3.25) p(2.8 < ξ) and p(3.25 > ξ)
Five identical
Five identical coins are tossed. What is the probability of more than one head?
Probability 80854
A coin is tossed 24 times. Find the probability of getting 16 heads. (The probability of getting a head is 0.5)
Binomial probability
What is the binominal probability that at least 4 of the six trials (n=6) are succeeded where φ = 0.50?
Dice
We threw ten times playing dice. What is the probability that the six will fall exactly four times?
Probability 7628
The probability that six will fall in just three rolls is once?
Dice
We throw five times the dice. What is the probability that six fits exactly twice?
Probability 73714
I roll six six-sided dice; what is the probability that exactly three threes will fall?
Probability 73054
We roll six dice. What is the probability that: a) a six falls twice b) six falls four times
Containers
One in eight containers is temporarily misplaced. A random sample of 12 containers is selected. What is the probability that 6 of these containers will be temporarily misplaced?
Seeds
The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate?
Probability 80858
During the exam, the student takes 3 questions out of 30. He is ready for 20 of them. Find the probability that he draws at most 2 that he knows.
Probability 80560
I have 3 sources, and their failure probability is 0.1. Calculate the probability that: a) none will have a malfunction b) 1 will have a breakdown c) at least 1 will have a fault d) they will all have a breakdown
Probability 9771
What is the probability that ten molecules will arrange within the brown motion to be one molecule in the lower half and nine molecules in the upper half in one vessel?
Deficiencies
The hygienic inspection of 2000 mass caterers found deficiencies in 300 establishments. What is the probability that flaws in a maximum of 3 devices will be found during the inspection of 10 devices?
Probability of failures
In specific productions, the probability of failure is 0.01. Calculate the likelihood of more than one failure among the 100 selected products if we return the selected products to the file after the check.
Family
Ninety-four boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
Questions 81676
You will learn 50% of the 30 questions. If I get 4 questions, I'll know 3.
Probability 81115
The probability of sprouting each avocado pit is 0.9. We planted 3 stones. What is the probability that exactly two of them will sprout?
Probability 80860
During the exam, the student takes 3 questions out of 20. He is ready for 14 of them. Find the probability that he draws at least one that he knows.

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