Exercise 1: The weight of a random scone sold by your favorite bakery has a mean of 105g I a standard deviation of 5g. Assume that the weights of different scones are independent. A. What is the approximate distribution of the average weight of 45 scones? B. Find the probability that the average weight of 45 scones is at at least 106g. (Use the table and not your calculator to find the probability).

80% of beans seeds sprout. Three seeds were planted. Find the distribution of the variable X = number of seeds that sprout. Find its mean value, variation and the probability that (a) at least two seeds sprout, (b) no one. [Ans.0, 816; 0, 008 ]

According to a​ report, the standard deviation of deviation of monthly cell phone bill was ​$48.93 three years ago. A researcher suspects that the standard deviation of deviation of monthly cell phone bill  is different from different from today. ​(a) Determine the null and alternative hypotheses. ​(b) Explain what it would mean to make a Type I error. ​(c) Explain what it would mean to make a Type II error. ​(a) State the hypotheses.

Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?

The average price of a new one-family home is $180,000 with a standard deviation of $14,000. Find the probability that a randomly selected house will have a price between $150,000 and $200,000. Assume the variable is normally distributed. Write your answer correct to four decimal places. Your Answer: Answer

The average number of kilos of meat a person consumes in a year is 90 kilos. Assume that the standard deviation is 10 kilos and the distribution is approximately normal. If a sample of 45 individuals is selected, find the probability that the mean of the sample will be 87 kilos or greater per year. Express your answer in percent form with 2 decimal places (with percent symbol - e.g. 10.00%) type your answer...

Just do 2 and 3 please.

A particular hospital's birthweight distribution is discovered to have a mean of 2700 g and a standard deviation of 200 g. Which of the following value ranges can we expect 95 percent of all birthweights at that hospital to fall within? O a. (2400, 3000) O b. (2500, 2900) O c. (2605, 2795)  d. (2600, 2800)

K The lengths of pregnancies are normally distributed with a mean of 269 days and a standard deviation of 15 days. a. Find the probability of a pregnancy lasting 308 days or longer. b. If the length of pregnancy is in the lowest 3%, then the baby is premature. Find the length that separates premature babies from those who are not premature. Click to view page 1 of the table. Click to view page 2 of the table. a. The probability that a pregnancy will last 308 days or longer is (Round to four decimal places as needed.) b. Babies who are born on or before (Round to the nearest integer as needed.) days are considered premature. .

Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. For the case​below, draw a​ sketch, and find the probability of the reading.​ (The given values are in Celsius​ degrees.)   Between 0.25 and 1.25   Click to view page 1 of the table. LOADING... Click to view page 2 of the table. LOADING... Draw a sketch. Choose the correct graph below.     A.                   z=0.25z=1.25         A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. The region between the 2 lines is shaded. Moving from left to right, the z-axis below the first line is labeled "z=0.25". The z-axis below the second line is labeled "z=1.25".   B.                   z=0.25z=1.25         A graph with a bell-shaped curve, divided into 3 regions by 2 lines from top to bottom, both on the right side. Moving from left to right,…