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Binomial Distribution

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Wize University Statistics Textbook > Discrete Probability Distributions

Binomial Distribution

8 Activities

A survey showed the following:
  • 20% of students sleep under 4 hours a night
  • 15% of students sleep between 4 and 5 hours a night
  • 25% of students sleep between 5 and 6 hours a night
  • 30% of students sleep between 6 and 7 hours a night
  • 10% of students sleep more than 7 hours a night
A student is randomly chosen, and here are two events:
  • Event A: The chosen student sleeps under 5 hours
  • Event B: The chosen student sleeps under 6 hours
True or False. Thse two events are independent.
More Binomial Distribution Questions:
Binomial RV
A student randomly guesses on 25  MC25\ \ MC questions, each with 44 options one of which is correct. Let XX represent the number of correctly guessed answers. Determine the value of E(X)E\left(X\right) and σ(𝑋)\sigma(𝑋).
Binomial Distribution
According to a self-conducted study, 60% of the socks in your friend Nitsy’s top drawer have a hole in them. Given a random sample of 20 socks from Nitsy’s top drawer, what is the expected number of them which have holes?
Binomial Distribution
According to studies, 75% of rabbits like carrots. If 14 rabbits are selected at random, what is the probability that more than 8 but fewer than 11 of them like carrots?
Binomial RV
13 cards are drawn from a standard deck with replacement. Let X represent the number of aces drawn. Find the variance of X, that isV(X).V(X).
Practice: Bernoulli Trials
When Ben asks a girl for her number, he gets it 20% of the time.
Binomial Distribution vs. Poisson Distribution vs. Hypergeometric Probability
Binomial [B], Poisson [P], or Hypergeometric [H]? Enter B, P, or H in the boxes below.
Binomial and Poisson Distributions
At a dangerous intersection, 2.5% of cars drive through a red light. Suppose 100 cars drove by.
Binomial Probability
Leo can shoot a bull’s eye 60% of the time. He has 10 bullets.
a) What’s the probability that he will shoot a bull’s eye exactly 8 of the 10 times?
b) What’s the probability that he will shoot a bull’s eye at most 8 times?
Binomial Distribution
The probability that Todd makes a sale is 40%. He engaged with 50 customers today.
What is the probability that exactly half of the customers will buy something from him today?
Statistical Properties: Practice
True or false? Enter "T" for true; "F" for false (without quotations).
Binomial distribution
Samuel plays a game in which he wins a prize 20% of the time.
Discrete Random Variable
An ordinary die is rolled 164 times. Determine the expected number of times the die shows a number greater than four.
Binomial Distribution
The binomial mean is 90 and the binomial standard deviation is 6. Find nn.