Question

55% of the customers of a bakery buy chocolate cakes. On a certain day, six customers...

55% of the customers of a bakery buy chocolate cakes. On a certain day, six customers purchased a cake from the store. If among them there is at least one customer who bough chocolate cake, what is the probability that two or more of them bought chocolate cake? Assume that these customers decide independently.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

Let X denotes the number of customers who bought chocolate cake among 6 randomly selected customers.

Here,

X ~ Binomial(n = 6, p = 0.55)

The probability mass function of X is

Now,

If among them there is at least one customer who bough chocolate cake, the probability that two or more of them bought chocolate cake is

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Some customers do not plan ahead, so every day, the bakers at All About Cakes bakery...
Some customers do not plan ahead, so every day, the bakers at All About Cakes bakery produce four cakes for last minute emergency orders. If the cakes are not sold within two days, they are thrown out. Each cake costs $10 in supplies and overhead, and it sells for $25. The probability distribution for the number of cakes sold out of each batch of four is given below. Find the expected profit for the bakery generated from these batches of...
A bake shop, offers many variety of cakes to customers according to the following: 1. The...
A bake shop, offers many variety of cakes to customers according to the following: 1. The customer has to pick one of these cake sponge: white cake, chocolate, or red velvet. 2. It is possible for a customer to have any combination of fillings such as cream cheese, vanilla buttercream, chocolate ganache, strawberry, chocolate buttercream, mango filling, and mocha buttercream. 3.The customer may add sprinkles, chocolate chips, brownies, and/or sugar candy. These additional toppings are optional. Assume that a cake...
A local bakery estimates that 25% of its customers purchase chocolate croissants. Each customer is only...
A local bakery estimates that 25% of its customers purchase chocolate croissants. Each customer is only allowed to purchase one chocolate croissant per day. a. In a random sample of 9 customers, what is the probability that at least five will purchase a chocolate croissant. b. In a random sample of 12 customers what is the probability that two or less do not purchase a chocolate croissant. c. If on a particular day, the bakery makes only 35 chocolate croissants,...
In a bakery, 8% of cakes baked in an oven are deformed. Please keep at least...
In a bakery, 8% of cakes baked in an oven are deformed. Please keep at least five decimal points if possible a. If 3 cakes are randomly selected for review, compute the probability first one is deformed and other 2 are not deformed. b) A chef randomly takes cakes out of oven to look for deformation. If M is the number of cakes observed to find the 1st defective cake, then M has a geometric distribution. Compute the probability that...
A mall has six different bakeries, namely Bakery A,B,C,D,E,F . Assume each customer that visits the...
A mall has six different bakeries, namely Bakery A,B,C,D,E,F . Assume each customer that visits the mall is equally likely to choose any of the six different bakeries, independent of the choices of the previous customers. The number of customers going to the mall during the first 10 minutes of business at the start of the day is a Poisson random variable with mean 8. Compute the expected value of the number of bakeries that will serve customers during the...
What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is...
What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 28% of ice cream sales are vanilla. Chocolate accounts for only 13% of ice cream sales. Suppose that 182 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round your answers to four decimal places.) (a) What is the probability that 50 or more will buy vanilla? (b) What is the probability that 12 or more...
The owner believes that more than 50% of all customers who visit the store buy books....
The owner believes that more than 50% of all customers who visit the store buy books. Since they don’t keep track of this formally, she does so on a particular day and observes that 34 of the 60 customers who visited also purchased a book. In your own words, please state why we can’t say for sure that she is correct even though observing more than 50% of customers buying books on the day she tracked it matches with her...
A grocery store counts the number of customers who arrive during an hour. The average over...
A grocery store counts the number of customers who arrive during an hour. The average over a year is 20 customers per hour. Assume the arrival of customers follows a Poisson distribution. (It usually does.) Find the probability that at least one customer arrives in a particular one minute period. Round your answer to 3 decimals.     Find the probability that at least two customers arrive in a particular 4 minute period. Round your answer to four decimals.
The manager of a music store has kept records of the number of CDs bought in...
The manager of a music store has kept records of the number of CDs bought in a single transaction by customers who make a purchase at the store. The accompanying table gives six possible outcomes and the estimated probability associated with each of these outcomes for the chance experiment that consists of observing the number of CDs purchased by a randomly selected customer at the store. Number of CDs purchased 1 2 3 4 5 6 or more Estimated probability...
In the following problem, check that it is appropriate to use the normal approximation to the...
In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. What's your favorite ice cream flavor? For people who buy ice cream, the all-time favorite is still vanilla. About 27% of ice cream sales are vanilla. Chocolate accounts for only 7% of ice cream sales. Suppose that 184 customers go to a grocery store in Cheyenne, Wyoming, today to buy ice cream. (Round...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT