What is the probability that Boston has less than 200 sunny days in a given year?
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Boston, Massachusetts, averages | 211.7 | sunny days per year. | Assume that the number of sunny days |
follows a |
20 | days. |
20 | What is the probability that Boston has less than | 200 | sunny days in a given year? | ||||||
a | 0.2394 | ||||||||
b | 0.2520 | ||||||||
c | 0.2653 | ||||||||
d | 0.2793 |
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- Let X and Y have the following joint probability density function: fX,Y(x,y) = 1 / (x2 y2), for x>1, y>1 0, otherwise Let U = 5 X Y and V = 8 X. In all question parts below, give your answers to three decimal places (where appropriate). (a) The non-zero part of the joint probability density function of U and V is given by fU,V(u,v) = A vB uC for some constants A, B, C. Find the value of A.The average height of flowering cherry trees in a nursery is 11 feet. If the heights are normally distributed with a standard deviation of 1.6, find the probability that a tree is less than 13 feet tall. O 0.67 0.89 0.95 O 0.78A certain brand of car tends to break down on average after 115,000miles with a standard deviation of 4800 miles. If 36 cars of this brand are sampled,find the probability that their average breakdown mileage is less than 113,500miles. a. 0.0301 b. 0.3783 c. 0.6217 d. 0.9699
- Susan jogs to the park each day and the trip takes an average of µ = 22 minutes. The distribution of jog times is approximately normal with a standard deviation of σ = 10 minutes. For a randomly selected day, what is the probability that Susan’s jog to the park will take less than 16 minutes? Select one: a. 0.2743 b. 0.8957 c. 0.3236 d. 0.7554Assume that an individual's golf scores are normally distributed with a mean of 90.4 and a standard deviation of 5.3. Calculate the probability that the golfer will shoot lower than a 76 during his next round. Select one: a. 0.0051 O b. 0.065 O c. 0.012 O d. 0.0033Citizens use an average of 650 pounds of paper a year. Suppose that the distribution is normal with a population standard deviation of 153.5 pounds. Suppose you take a random sample of 25 Citizens. What is the probability that the mean pounds of paper used in a year are between 500 and 700 pounds
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- The average height of women is 64 inches. The standard deviation is 2 inches. The heights have a normal distribution. Find the probability that a randomly selected woman is shorter 59 inches or taller than 68 inches.The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?The amount of time a marker takes to mark a single Advanced Business Statistics exam script has a normal distribution with mean 336 seconds and standard deviation 198 seconds. One script is selected at random. Find the probability that it takes the marker more than 500 seconds to complete marking this script. A. 0.2033 B. 0.2967 C. 0.7033 D. 0.7967