Assume that the random variable. Is normally distributed, with mean r= 100 and standard deviation a= 15. Compute the probability P(X>112)
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Assume that the random variable. Is
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- The average number of miles (in thousands) that a car's tire will function before needing replacement is 68 and the standard deviation is 19. Suppose that 42 randomly selected tires are tested. Round all answers to 4 decimal places where possible and assume a normal distribution. If a randomly selected individual tire is tested, find the probability that the number of miles (in thousands) before it will need replacement is between 65 and 68.6. For the 42 tires tested, find the probability that the average miles (in thousands) before need of replacement is between 65 and 68.6. For part b, is the assumption that the distribution is normal necessary? NoYesThe life expectancy of poople in Oman is if the mean distributed. maly years and 6) years nor and standeard'deviation is (106) respectively, Find the probability that the life expectancy is between (104) and (76) gearsAssume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
- Assume that the length of time between charges of a particular cell phone is normally distributed with a mean of 32 hours and a standard deviation of 3 hours. Find the probability that the cell phone will last between 28 and 38 hours between charges. SHOW YOUR WORK Paragraph BIU A + v ... !!! liliA bus heading to university is always scheduled to arrive at a certain bus stop at 7:30am. The difference between the actual arrival time and 7:30am is normally distributed with mean 0 and standard deviation of 2 minutes.A student who always has a class at 8am decided to be at the bus stop at 7:28am in order to try to guarantee catching this bus. What is the probability that the student will catch the bus on any particular day?Probability = What is the probability that the student will catch the bus at least 4 times out of 5 days?Probability =The mean incubation time for a type of fertilized egg kept at a certain temperature is 22 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 2 days. Complete parts (a) through (e) below. b. Find and interpret the probability that a randomly selected fertilized egg hatches in less than 20 days. c. Find and interpret the probability that a randomly selected fertilized egg takes over 24 days to hatch. d. Find and interpret the probability that a randomly selected fertilized egg hatches between 18 and 22 days. e. Would it be unusual for an egg to hatch in less than 16 days? Why? The probability of an egg hatching in less than 16 days is __ so it would not or would be unusual, since the probability is greater or less than 0.05.
- The number of people who dine at restaurants in Buffalo is normally distributed with a µ = 30 people and = 3 people. (Report both the z-scores and probability) What is the probability that the mean of 7 restaurants will have between 21 and 32 people dining there? z1 = z2 = p(21 > M > 32) = What is the probability that the mean of 13 restaurants will have less than 21 people dining there? z = p(M < 21)= Is the p=0 when the z score is extreme like -10 or 10?Suppose people attending a party serve drinks from a bottle containing 63 ounces of a certain liquid. Suppose, furthermore, that the expected size of each drink is 2 ounces, that the standard deviation of each drink is 1/2 ounce, and that all beverages are served independently. Determine the likelihood that the bottle is not empty after you have served 36 drinks.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 stair climber for (a) less than 21 minutes, (b) between 24 and 32 minutes (c) more than 40 minutes.
- Determine the continuous uniform distri- bution that has the same mean and same variance as a x²-distribution with 9 degrees of freedom. Give the right end point of the distribution.Q4) A capacity of a battery is normally distributed with a mean of 25.2 Kw-hr and standard deviation of 0.1 Kw-hr, find the probability that a selected battery has a capacity more than 25.11 Kw-hr 0.758 O )0.864 O 0.691 O 0.816 OA beverage factory machine fills can with chocolate drink follows the normal distribution with amean weight of 155 grams and a standard deviation of 5 grams. 1) A can is selected at random. Find the probability that the can’s weight less than 165 grams.2) The company of this chocolate beverage decided to replace the filling machine if 12.3% of thecan is filled the minimum of x grams of chocolate drink. Find the value of x.
