The probability distribution of the random variable X represents the number of hits a baseball player obtained in a game for the 2012 baseball season. 1 3 4 5 P(x) 0.1666 0.3292 0.2779 0.1492 0.0366 0.0405 The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated? Click the icon to view the data tables. Data tables (Round to three decimal places as needed.) Table of the numbers of hits for 25 games Compute the theoretical standard deviation of the random variable X for the given probability distribution. 2204 3 0203 2 3 102 1 0 031 1 101 1 2 Ox = 1.247 hits (Round to three decimal places as needed.) Approximate the mean of the random variable X based on the simulation for 25 games. Table of the numbers of hits for 50 games hits 2 204 3020 3 2 3102 1003 1 1 10 1231 2 2 11 2 1 5 2 4 1 2|33 2| 0 (Round to three decimal places as needed.) 1211 3 1 1 Help me solve this View an example Get more help - Media - 3

A manufacturer uses electrical fuses in an electronic system. The fuses are purchased in large lots and tests sequentially until the first defective fuse is observed. Assume that the lot contains 4% defective fuses. Round to the nearest thousandths. What is the probability that the first defective fuse will be the fifth fuse tested?   Find each of the following for the number of fuses tested until the first defective fuse is observed. mean? variance? standard deviation?

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 27% below the target pressure. Suppose the target tire pressure of a certain car is 31 psi. A.  Pressure +31(27% of 31)= When tire pressure is below 22.63, the TPMS triggers a warning for the car. B.  Suppose tire pressure is a normally distributed random variable with a standard deviation equal to 2 psi. If the car’s average tire pressure is on target, what is the probability that the TPMS will trigger a warning?  The probability the TPMS will trigger a warning Prob+P(X<=22.63); =P(X-u/a<=22.63-31/2); =P(z<=-4.185 Norm Distribution);  Probability=.00011 C.  The manufacturer’s recommended correct inflation range is 29 psi to 33 psi. Assume the tires’ average psi is on target. If a tire on the car is inspected at random, what is the probability that the tire’s inflation is within the recommended range? Probability = ? I'd like to understand how to arrive at the answer. Thank you!

particular fruit's weights are normally distributed, with a mean of 540 grams and a standard deviation of 31 grams. If you pick 17 fruit at random, what is the probability that their mean weight will be between 543 grams and 562 grams