Question

Suppose that cranberries muffins have an average of six cranberries. (a) What is the probability that...

Suppose that cranberries muffins have an average of six cranberries. (a) What is the probability that half a muffin has at least four cranberries? (b) What is the probability that half a muffin has two or less cranberries? (c) Given that the first half of my muffin had two cranberries or less, what is the probability that the second half has four or more cranberries?

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

Homework Answers

Answer #1

Let X is a random variable shows the number of cranberries in hafl muffin. Here X has Poisson distribution with parameter .

The pdf of X is

(a)

The probability that half a muffin has at least four cranberries is

(b)

The probability that half a muffin has two or less cranberries is

(c)

Each half part of muffin are indepedent from each other. So the probability that half a muffin has at least four cranberries given that the first half of my muffin had two cranberries or less is equal to  the probability that half a muffin has at least four cranberries. So,

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
Pierre’s sells blueberry muffins that have an average of 226 calories with a standard deviation of...
Pierre’s sells blueberry muffins that have an average of 226 calories with a standard deviation of 15 calories, and chocolate chip muffins that have an average of 243 calories with a standard deviation of 22 calories. Assume the calorie amounts for both muffins follow Normal distributions. If we were to randomly select a chocolate chip muffin, what is the probability that it would contain between 235 and 285 calories? Provide the following: Z1: Value from Standard Normal table for Z1:...
Suppose I have 6 nieces and nephews (total, not six of each!) and I have just...
Suppose I have 6 nieces and nephews (total, not six of each!) and I have just won a set of 8 CD’s. If I distribute the CD’s at random what is the probability that : a) each child gets at least one? b) each child gets at least one and no child more than two?
Suppose that the average lifetime of a plane is 100 working hours and that the lifetime...
Suppose that the average lifetime of a plane is 100 working hours and that the lifetime distribution is exponential. (a) Estimate the probability that the plane will work at least 50 hours. (b) Given that the plane has functioned for 50 hours, what is the chance that it fails in the next 25 hours. (c) Suppose that two planes, one in active, the other in reserve (if the primary one malfunctions, the second will be used at once). What is...
Suppose that the average lifetime of a car is 100 working hours and that the lifetime...
Suppose that the average lifetime of a car is 100 working hours and that the lifetime distribution is exponential. (a) Estimate the probability that the car will work at least 50 hours. (b) Given that the car has functioned for 50 hours, what is the chance that it fails in the next 25 hours. (c) Suppose that two cars, one in active, the other in reserve (if the primary one malfunctions, the second will be used at once). What is...
Suppose that the average lifetime of a transistor is 100 working hours and that the lifetime...
Suppose that the average lifetime of a transistor is 100 working hours and that the lifetime distribution is exponential. (a) Estimate the probability that the transistor will work at least 30 hours. (b) Given that the transistor has functioned for 30 hours, what is the chance that it fails in the next 25 hours. (c) Suppose that two transistors, one in active, the other in reserve (if the primary one malfunctions, the second will be used at once). What is...
Suppose that the average lifetime of a plane is 100 working hours and that the lifetime...
Suppose that the average lifetime of a plane is 100 working hours and that the lifetime distribution is exponential. (a) Estimate the probability that the plane will work at least 50 hours. (b) Given that the plane has functioned for 50 hours, what is the chance that it fails in the next 25 hours. (c) Suppose that two planes, one in active, the other in reserve (if the primary one malfunctions, the second will be used at once). What is...
suppose two cards are randomly selected from a deck with replacement. then what is the probability...
suppose two cards are randomly selected from a deck with replacement. then what is the probability that at least one of the card is the queen of hearts, given that at least one red card is selected? If six people are randomly selective of the streets, what is the probability that at least two of them have the same birthday?
What is the probability that the second card is an ace, given that the first card...
What is the probability that the second card is an ace, given that the first card is a king? (b) What is the probability that the second card is an ace, aiven that the first card is an ace? What is the probability that the second card is (c) spade, given that the first card is a spade? (d) Suppose two cards are drawn at random from the deck with replacement. What is the probability that the second card is...
Suppose a fair coin is flipped three times. A). What is the probability that the second...
Suppose a fair coin is flipped three times. A). What is the probability that the second flip is heads? B). What is the probability that there is at least two tails? C). What is the probability that there is at most two heads?
5. Suppose the six-sided die you are using for this problem is not fair. It is...
5. Suppose the six-sided die you are using for this problem is not fair. It is biased so that rolling a 6 is three times more likely than any other roll. For this problem, the experiment is rolling a six-sided die twice. (A): What is the probability that one or both rolls are even numbers (2, 4 or 6’s)? (B): What is the probability that at least one of the rolls is an even number or that the sum of...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT