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The time it takes a ski patroller to respond to an accident call has an exponential distribution with an average response time of 5 minutes. As part of ski patrollers' commitment to prevent an accident related fatalities, the ski patrollers' association has committed that ski patrollers would respond within 5 minutes.
a. What is the probability that it will take a ski patroller between 2 minutes to 4 minutes to respond to an accident call?
b. What is the probability that the ski patrollers' association fails to honor its commitment?
c. What is the probability that a ski patroller takes at most 2 minutes to respond to an accident call?
If Z = 1.96, s = 3, and E = 1, determine the correct sample size.
In case of fire, the probability that D1 operates correctly is 0.95 and the probabilty that D2 operates correctly is 0.92. Find the probability that the sprinkler system will come on.
Use formula z=(mean of values in sample - mu subscript mean of values in sample) divided by (lower case sigma divided by sqrt number of values in sample)
Assume you randomly sample one mouse from the colony. The probability his age will be between 55 and 70 days is?
Explain and show exactly how you are getting the correct information from your data set and how you are computing the probabilty.
A survey of 120 high school students shows that 39 of them work over 20 hours per week during the school year. Does it demonstrate the conjecture that more than 25% of the high school students work over 20 hours per week during the school year?
A recent census of a small town in Michigan showed that 60% of the residents are male, 20% have college degrees, and 15% are both male and college graduates.
Auditor wants to be within 7% of true proportion when using 95% confidence level. How many files should auditor sample?
Can the president conclude that the average family income at his school is significantly different than the population mean family income of the reported university?
A random variable X has the Pareto (α, θ) distribution (where α > 0, θ > 0) if F_X(x) = 1 - (θ/(θ+x))^α for x ≥ 0. For a fixed d > 0, let Y = X-d | X >d. Calculate F_Y(y) and EY.
Call this the customer's age. Next, for each of 100 customers, draw from the N(10; 2) distribution and call this the customer's length of membership.
If there is a +.20 correlation between SAT scores and high school GPA, SAT scores account for what % of the fluctuation in GPA?
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