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:

Josiah has a bag that contains strawberry chews, apple chews, and watermelon chews. He performs an experiment. Josiah randomly removes a chew from the bag, records the result, and returns the chew to the bag. Josiah performs the experiment 30 times. The results are shown below: A strawberry chew was selected 9 times. A apple chew was selected 15 times. A watermelon chew was selected 6 times. Based on these results, express the probability that the next chew Josiah removes from the bag will be a flavor other than strawberry as a percent to the nearest whole number. Answer:

Josiah has a bag that contains strawberry chews, apple chews, and watermelon chews. He performs an experiment. Josiah randomly removes a chew from the bag, records the result, and returns the chew to the bag. Josiah performs the experiment 3030 times. The results are shown below:\newlineA strawberry chew was selected 99 times.\newlineA apple chew was selected 1515 times.\newlineA watermelon chew was selected 66 times.\newlineBased on these results, express the probability that the next chew Josiah removes from the bag will be a flavor other than strawberry as a percent to the nearest whole number.\newlineAnswer:

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. Josiah has a bag that contains strawberry chews, apple chews, and watermelon chews. He performs an experiment. Josiah randomly removes a chew from the bag, records the result, and returns the chew to the bag. Josiah performs the experiment 3030 times. The results are shown below:\newlineA strawberry chew was selected 99 times.\newlineA apple chew was selected 1515 times.\newlineA watermelon chew was selected 66 times.\newlineBased on these results, express the probability that the next chew Josiah removes from the bag will be a flavor other than strawberry as a percent to the nearest whole number.\newlineAnswer:
  1. Calculate Total Non-Strawberry Selections: Determine the total number of times a flavor other than strawberry was selected. Josiah selected an apple chew 1515 times and a watermelon chew 66 times. To find the total number of times a flavor other than strawberry was selected, we add these two numbers together. 1515 (apple chews) + 66 (watermelon chews) = 2121 (non-strawberry chews)
  2. Total Experiments Conducted: Calculate the total number of experiments conducted.\newlineJosiah conducted the experiment 3030 times in total.
  3. Calculate Probability of Non-Strawberry Selection: Determine the probability of selecting a flavor other than strawberry. To find this probability, we divide the number of times a non-strawberry flavor was selected by the total number of experiments. Probability (non-strawberry) = Number of non-strawberry selectionsTotal number of experiments\frac{\text{Number of non-strawberry selections}}{\text{Total number of experiments}} Probability (non-strawberry) = 2130\frac{21}{30}
  4. Convert Probability to Percentage: Convert the probability to a percentage.\newlineTo convert a probability to a percentage, we multiply it by 100100.\newlinePercentage (non-strawberry) = (Probability (non-strawberry)) ×100\times 100\newlinePercentage (non-strawberry) = (2130)×100(\frac{21}{30}) \times 100
  5. Round Percentage to Nearest Whole Number: Round the result to the nearest whole number.\newlineNow we calculate the percentage and round it to the nearest whole number.\newlinePercentage (non-strawberry) ≈(0.7)×100≈70%\approx (0.7) \times 100 \approx 70\%

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