Question

In: Statistics and Probability

Suppose the average number of donuts a nine-year old child eats in a month between 0.5...

Suppose the average number of donuts a nine-year old child eats in a month between 0.5 and 5 minutes, inclusive. Let X the average number of donuts a nineyear old child eats in a month. (Round probabilities to 4 decimal places) a. Then X ~ f(x) =

b. Find the probability that a randomly selected nine-year old child eats on average more than 2 donuts in month.

c. Find the 90th percentile for the average number of donuts a nine-year old child eats per month.

d. Find the probability that a different nine-year old child eats an average of more than two donuts given that his or her average is more than 1 donut per month.

Expert Solution

(a)

Here X has uniform distribution between 0.5 and 5.

The pdf of X is

(b)

The probability that a randomly selected nine-year old child eats on average more than 2 donuts in month is

(c)

The 90th percentile, let P, for the average number of donuts a nine-year old child eats per month is,

(d)

and

Therefore,

The probability that a different nine-year old child eats an average of more than two donuts given that his or her average is more than 1 donut per month is,

orchestra answered 2 years ago

Are the mean number of times a month a person eats out the same for whites,...

Are the mean number of times a month a person eats out the same for whites, blacks, Hispanics and Asians? White Black Hispanic Asian 6 4 7 8 8 1 3 3 2 5 5 5 4 2 4 1 6 6 7 df numerator and denominator = Write Ho and Ha What is the p-value? Do you reject or accept the null hypothesis at the 5% level?

Suppose the average American eats about 31 pounds of cheese per year with a standard deviation...

Suppose the average American eats about 31 pounds of cheese per year with a standard deviation of 7.75 pounds. Find the probability that a sample of 32 Americans will eat between 28 and 35 pounds of cheese. Include a sketch.

Hanna, who is a 5-year-old girl, eats nothing but pasta, yogurt, and lemonade. Each month her...

Hanna, who is a 5-year-old girl, eats nothing but pasta, yogurt, and lemonade. Each month her parents buy 25 pounds of pasta, 65 packages of yogurt, and 15 bottles of lemonade. These three items make up a basket of goods and services similar to the much larger basket used by the Bureau of Labor Statistics (BLS) when computing the official Consumer Price Index (CPI). The table below lists the average price for each item in this basket for the past...

You are interested in estimating the average number of pizza slices a college student eats in...

You are interested in estimating the average number of pizza slices a college student eats in one month. In a random sample of 30 college students, you find the average to be 18.924 slices with a sample variance of 120. What is the p-value for a two-sided hypothesis test where the null is that the true population mean is 14 slices per month?

Jason is a nine-year-old child who developed chronic renal failure after suffering from a streptococcal infection...

Jason is a nine-year-old child who developed chronic renal failure after suffering from a streptococcal infection (strep throat). Jason's renal function has declined steadily over the last three years, and he is currently receiving hemodialysis three times a week. A search is on for a suitable kidney donor. Jason is 4 feet 3 inches tall and weighs 55 pounds. He fol- lows a fluid-, sodium-, potassium-, and phosphorus-restricted diet, His typical energy intake is about 1000 kcalories per day. My...

1. Suppose Mary has an income of $315 per month and eats out for $15 a...

1. Suppose Mary has an income of $315 per month and eats out for $15 a dinner and sees movies at a cost of $9 per movie. a.Explain why you do not need to graph her budget constraint to determine the slope, given the information above. What is the value of the slope of the budget constraint? b.Suppose Mary finds a new job and now makes $360 per month. However, her local movie theater raises ticket prices to $12. Draw...

Suppose after a high-smog alert day in your city, a 5-year-old child with asthma, a 50-year-old...

Suppose after a high-smog alert day in your city, a 5-year-old child with asthma, a 50-year-old male smoker with emphysema, and a 75-year-old of average health all come to the emergency room complaining of a cough and chest pain. Which patient’s health would you be the most concerned about and why? How do breathed-in air pollutants, such as smoke or asbestos, interfere with or worsen the respiration process in each of these scenarios?

a) A report says that the average amount of time a 10-year-old American child spends playing...

a) A report says that the average amount of time a 10-year-old American child spends playing outdoors per day is between 19.96 and 26 minutes. What is the margin of error in this report? b) What is the margin of error for a poll with a sample size of 550 people? Round your answer to the nearest hundredth of a percent. c) If you want a poll to have a margin of error of 3.26%, how large will your sample...

Suppose that the average number of a car accidents in a year was 10,276. The standard...

Suppose that the average number of a car accidents in a year was 10,276. The standard deviation for the same distribution was 2600. Calculate your answers to four decimal places and include the probability notation show all your work. A) suppose that you took a sample of 75 years, is the sampling distribution normally distributed? explain how you know? B) what is the mean and standard deviation for the sampling distribution of 75 years? C) what is the probability that...

Suppose that the average price of a 5 year old used car is $16,230 with a...

Suppose that the average price of a 5 year old used car is $16,230 with a standard deviation of $4,740. Assume that the price follows a normal distribution, find the following The probability of an used car is less than $19,000? The probability of an used car is between 13,000, and 18,000? The probability is between 11,000 and 16,000? The probability is greater than 20,000? I’m looking for an used car in the cheapest 10%. How much am I willing...