Find the probability that a single randomly selected value from the population is greater than 161.4. P(X > 161.4) = Find the probability that a sample of size n = 30 is randomly selected with a mean greater than 161.4. P(M > 161.4) =

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 225.1-cm and a standard deviation of 1.4-cm. For shipment, 12 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is between 224.1-cm and 224.6-cm. P(224.1-cm < M < 224.6-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 249.5-cm and a standard deviation of 2.1-cm. For shipment, 11 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is between 250.6-cm and 251.5-cm.P(250.6-cm < M < 251.5-cm) = Enter your answer as a number accurate to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 258.1 cm and a standard deviation of 0.5 cm. For shipment, 14 steel rods are bundled together.Find the probability that the average length of a randomly selected bundle of steel rods is between 257.8 cm and 258.4 cm.P(257.8 cm < x¯ < 258.4 cm) = Enter your answer as a number accurate to 4 decimal places. Answers should be obtained using z-scores correct to two decimal places.

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 =

Suppose the ages of Internet shoppers have a mean of 32 years and a standard deviation of 5 years. If you select a random sample of 100 Internet shoppers, what is the probability that the average age of the sample is 30.9 years or more? (use the concept of sampling distribution of mean and central limit theorem)

A population of values has a normal distribution with 116.3 and a 60.6. You intend to draw a random sample of size n = 78. Please show your answers as numbers accurate to 4 decimal places. Find the probability that a single randomly selected value is greater than 114.2. PIX> 114.2) - Find the probability that a sample of size n=78 is randomly selected with a mean greater than 114.2. P114.2) -

A dishwasher has a mean lifetime of 12 years with an estimated standard deviation of 1.25 years. The lifetime of a dishwasher is normally distributed. Suppose you are a manufacturer and you take a sample of 15 dishwashers that you made.  Find probability that the sample mean lifetime of the 15 randomly selected dishwashers is less than 12.6 (4 decimals) find the probability that the sample mean lifetime of the 15 randomly selected dishwashers is less than 11.4 years thank u for the help