Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Leo is going to use a random number generator 400 times. Each time he uses it, he will get a 1,2,3,4, or 5 . What is the best prediction for the number of times that Leo will get an odd number? Choose 1 answer: (A) Exactly 133 times (B) Close to 133 times but probably not exactly 133 times (C) Exactly 240 times (D) Close to 240 times but probably not exactly 240 times

Leo is going to use a random number generator 400400 times. Each time he uses it, he will get a 1,2,3,4 1,2,3,4 , or 55 .\newlineWhat is the best prediction for the number of times that Leo will get an odd number?\newlineChoose 11 answer:\newline(A) Exactly 133133 times\newline(B) Close to 133133 times but probably not exactly 133133 times\newline(C) Exactly 240240 times\newline(D) Close to 240240 times but probably not exactly 240240 times

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Find probabilities using the binomial distributionright chevron icon

Full solution

Q. Leo is going to use a random number generator 400400 times. Each time he uses it, he will get a 1,2,3,4 1,2,3,4 , or 55 .\newlineWhat is the best prediction for the number of times that Leo will get an odd number?\newlineChoose 11 answer:\newline(A) Exactly 133133 times\newline(B) Close to 133133 times but probably not exactly 133133 times\newline(C) Exactly 240240 times\newline(D) Close to 240240 times but probably not exactly 240240 times
  1. Identify Odd Numbers: Identify the possible outcomes that are considered odd numbers from the random number generator.\newlineThe random number generator can produce 11, 22, 33, 44, or 55. The odd numbers in this set are 11, 33, and 55.
  2. Calculate Probability: Calculate the probability of getting an odd number on a single trial.\newlineSince there are 33 odd numbers (11, 33, and 55) out of 55 possible outcomes, the probability of getting an odd number is 35\frac{3}{5}.
  3. Predict Odd Outcomes: Use the probability to predict the number of times an odd number will occur out of 400400 trials.\newlineTo find the expected number of times an odd number will occur, multiply the total number of trials by the probability of getting an odd number.\newlineExpected number of odd outcomes == Total trials ×\times Probability of an odd number\newlineExpected number of odd outcomes =400×(35)= 400 \times \left(\frac{3}{5}\right)
  4. Perform Calculation: Perform the calculation to find the expected number of odd outcomes. Expected number of odd outcomes = 400×(35)=400×0.6=240400 \times \left(\frac{3}{5}\right) = 400 \times 0.6 = 240

More problems from Find probabilities using the binomial distribution

Question
A restaurant server claims that \(28\)% of the time he leaves candy with the bill, the customer tips well. \newlineIf the server's claim is true, and one day he leaves candy with \(4\) customers' bills, what is the probability that exactly \(3\) of those customers will tip well?\newlineWrite your answer as a decimal rounded to the nearest thousandth.
Get tutor helpright-arrow

Posted 7 months ago

Question
There is a spinner with `50` equally likely sections, numbered from `1` to `50`. You have the opportunity to spin it. If the number is odd, you win $`11`. If the number is even, you win nothing. If you play the game, what is the expected payoff?\(\$\)_____
Get tutor helpright-arrow

Posted 9 months ago

Question
There are two different raffles you can enter.\newlineIn raffle A, one ticket will win a `$720` prize, and the other tickets will win nothing. There are 1,0001,000 in the raffle, each costing `$11`.\newlineRaffle B is for a `$370` prize. Out of 125125 tickets, each costing `$5`, one ticket will win the prize, and the other tickets will win nothing.\newlineWhich raffle is a better deal?\newlineChoices:\newline[A]Raffle A\text{[A]Raffle A}\newline[B]Raffle B\text{[B]Raffle B}
Get tutor helpright-arrow

Posted 8 months ago

Question
XX is a normally distributed random variable with mean 4949 and standard deviation 2525.\newlineWhat is the probability that XX is between 2424 and 7474??\newlineUse the 0.68−0.95−0.9970.68-0.95-0.997 rule and write your answer as a decimal. Round to the nearest thousandth if necessary.\newline____
Get tutor helpright-arrow

Posted 9 months ago

Question
XX is a normally distributed random variable with mean 6565 and standard deviation 88.\newlineWhat is the probability that XX is between 6262 and 6868??\newlineWrite your answer as a decimal rounded to the nearest thousandth.\newline____
Get tutor helpright-arrow

Posted 9 months ago

Question
Complete the statement. Round your answer to the nearest thousandth.\newlineIn a population that is normally distributed with mean 4343 and standard deviation 33, the bottom 30%30\% of the values are those less than ______.
Get tutor helpright-arrow

Posted 9 months ago

Question
Y Y is the number of desserts available in a randomly chosen restaurant.\newlineIs the random variable Y Y discrete or continuous?\newlineChoices:\newline[A]discrete \text{[A]discrete} \newline[B]continuous \text{[B]continuous}
Get tutor helpright-arrow

Posted 9 months ago

Question
Which of the following functions are continuous for all real numbers?\newlineg(x)=ln⁡(x) g(x)=\ln (x) \newlinef(x)=1x f(x)=\frac{1}{x} \newlineChoose 11 answer:\newline(A) g g only\newline(B) f f only\newline(C) Both g g and f f \newlineD Neither g g nor f f
Get tutor helpright-arrow

Posted 9 months ago

Question
Which of the following functions are continuous at x=−1 x=-1 ?\newlineg(x)=sin⁡(x+1) g(x)=\sin (x+1) \newlinef(x)=1x−1 f(x)=\frac{1}{x-1} \newlineChoose 11 answer:\newline(A) g g only\newline(B) f f only\newline(C) Both g g and f f \newline(D) Neither g g nor f f
Get tutor helpright-arrow

Posted 8 months ago

Question
Let g g be a continuous function on the closed interval [−1,4] [-1,4] , where g(−1)=−4 g(-1)=-4 and g(4)=1 g(4)=1 .\newlineWhich of the following is guaranteed by the Intermediate Value Theorem?\newlineChoose 11 answer:\newline(A) g(c)=−3 g(c)=-3 for at least one c c between −1-1 and 44\newline(B) g(c)=3 g(c)=3 for at least one c c between −4-4 and 11\newline(C) g(c)=−3 g(c)=-3 for at least one c c between −4-4 and 11\newline(D) g(c)=3 g(c)=3 for at least one c c between −1-1 and 44
Get tutor helpright-arrow

Posted 8 months ago

View all (89)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant