The mean incubation time for a type of fertilized egg kept at a certain temperature is 16 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. Complete parts​ (a) through​ (e) below. ​(a) Find and interpret the probability that a randomly selected fertilized egg hatches in less than 14 days.   The probability that a randomly selected fertilized egg hatches in less than 14 days is nothing. ​(Round to four decimal places as​ needed.)   ​(b) Find and interpret the probability that a randomly selected fertilized egg takes over 18 days to hatch.   The probability that a randomly selected fertilized egg takes over 18 days to hatch is nothing. ​(Round to four decimal places as​ needed.)   ​(c) Find and interpret the probability that a randomly selected fertilized egg hatches between 12 and 16 days.   The probability that a randomly selected fertilized egg hatches between 12 and 16 days is nothing. ​(Round to four decimal places as ​needed.) ​(d) Would it be unusual for an egg to hatch in less than 10 ​days? Why?   The probability of an egg hatching in less than 10 days is nothing​, so it ▼   would not would be​ unusual, since the probability is ▼   greater less than 0.05. ​(Round to four decimal places as​ needed.)

The time required to roast a duck may be taken to have a normal distribution with a mean of 45 minutes and standard deviation 12 minutes. The time required to roast a chicken may be taken to have an independent normal distribution with mean 30 minutes and standard deviation 8 minutes. Assume that the oven can only roast one poultry at one time. 0.338 One duck is chosen at random. Find the probability that at least 50 minutes will be required to roast it. (ii) Three randomly chosen ducks are roasted successively in random order. Find the probability that each of them requires more than 45 minutes to roast. 0.15

The weights of a certain breed of dogs follow a normal distribution with a mean of 30 pounds and a standard deviation of 5 pounds. If a random sample of 25 dogs is selected, what is the probability that their average weight is between 28 and 32 pounds? The monthly returns on a stock follow a normal distribution with a mean return of 2% and a standard deviation of 4%. What is the probability that the stock has a negative return in any given month? The lifetimes of a certain brand of lightbulb are normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the probability that a randomly selected lightbulb will last more than 1100 hours?

Suppose that the number of customers who enter a supermarket each hour is normally distributed with a mean of 650 and a standard deviation of 230. The supermarket is open 15 hours per day. What is the probability that the total number of customers who enter the supermarket in one day is greater than 10400? (Hint: Calculate the average hourly number of customers necessary to exceed 10400 in one 15-hour day.) Probability =

Assume that the readings at freezing on a bundle of thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading greater than -1.935°C.

The physical fitness of an athlete is often measured by how much oxygen the athlete takes in (which is recorded in milliliters per kilogram, ml/kg). The mean maximum oxygen uptake for elite athletes has been found to be 60 with a standard deviation of 9 . Assume that the distribution is approximately normal.  What is the probability that an elite athlete has a maximum oxygen uptake of at least 50 ml/kg? What is the probability that an elite athlete has a maximum oxygen uptake of 70 ml/kg or lower?

The life of Sunshine CD players is normally distributed with a mean of 4.1 years and a standard deviation of 1.1 years. A CD player is guaranteed for three years. We are interested in the length of time a CD player lasts. Find the probability that a CD player will break down during the guarantee period.

The amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean of 25 minutes and a standard deviation of 6 minutes. Find the probability that a randomly selected athlete uses a stairclimber for (a) less than 20 minutes, (b) between 25 and 32 minutes, and (c) more than 40 minutes. (a) The probability that a randomly selected athlete uses a stairclimber for less than 20 minutes is (Round to four decimal places as needed.) (b) The probability that a randomly selected athlete uses a stairclimber between 25 and 32 minutes is (Round to four decimal places as needed.) (c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is (Round to four decimal places as needed.)

The amounts of time per workout an athlete uses a stairclimber are normally​ distributed, with a mean of 24minutes and a standard deviation of 5 minutes. Find the probability that a randomly selected athlete uses a stairclimber for​ (a) less than 20 ​minutes, (b) between 24 and 33 ​minutes, and​ (c) more than 40 minutes.       ​(a) The probability that a randomly selected athlete uses a stairclimber for less than 20minutes is. ​(Round to four decimal places as​ needed.) ​(b) The probability that a randomly selected athlete uses a stairclimber between 24 and 33 minutes is. ​(Round to four decimal places as​ needed.) ​(c) The probability that a randomly selected athlete uses a stairclimber for more than 40 minutes is . ​(Round to four decimal places as​ needed.)

Americans receive an average of 20 Christmas cards each year. Suppose the number of Christmas cards is normally distributed with a standard deviation of 5. Let X be the number of Christmas cards received by a randomly selected American. Round all answers to 4 decimal places where possible.b. If an American is randomly chosen, find the probability that this American will receive no more than 23 Christmas cards this year. Incorrectc. If an American is randomly chosen, find the probability that this American will receive between 21 and 26 Christmas cards this year. d. 65% of all Americans receive at most how many Christmas cards? (Please enter a whole number)