For a highway, the car's speed has a uniform distribution [50,90]. Cars are stopped if speed X is greater than 70(mph). The price of a speeding ticket is equal to Y = 15 + (1/10)X(X-70). What is the probability that a stopped car is/was going faster than 85 mph? For each car stopped, the Var(X) is equal to what?

A mail order company has an  8%  success rate. If it mails advertisements to  502  people, find the probability of getting less than  34  sales. Round  z -value calculations to  2  decimal places and final answer to at least  4  decimal places.   P(X<34)=

A recent survey of 1040 U.S. adults selected at random showed that 634 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.Step 1Recall that the probability of an event based on relative frequency uses the formulaprobability of event = relative frequency = fn,where f is the frequency of the event occurrence in a sample of n observations. A total of 1040 people were surveyed and 634 considered the occupation of firefighter to have very great prestige. Therefore, the sample size is n =  . The event of interest is that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige. Therefore, the frequency f is equal to the number of adults who  the occupation of firefighter has very great prestige, so f =  (0.6096 answer is incorrect.) .

For the residents in 2014, use R to calculate the interval with 99% certainty that the interval contains the actual population mean of the residents by census tracts. Type in the interval with keyboard. We also know that in each year, the number of residents by census tract in the State of Maryland follows a normal distribution, and the variance in the number of residents within the State of Maryland is the same for different years.  POP2014: 3072, 1989, 3794, 2689, 3211, 3722, 4385, 4009, 7598, 3862, 3097, 2726, 4881, 4157, 2570, 2512, 2518, 4863, 4147, 7139, 6067, 6819, 3705, 3239, 3824, 4977, 2576, 2940, 9791, 5231, 5634, 5337, 4205, 3888, 5562, 3335, 3770, 1808, 2045, 1532, 5420, 4993, 6109, 4377, 5424, 4976, 4507, 3738, 2827, 3485, 1559, 5199, 4702, 3971, 3803, 3356, 4670, 3816, 5477, 4760, 3126, 3630, 3755, 3795, 2578, 3382, 4005, 2442, 6096, 3799, 3843, 3836, 6046, 6431, 3561, 3142, 4829, 5058, 2471, 6119, 3523, 3094, 3146, 3356, 2618, 2366, 4266, 4016, 6080, 1554, 6878, 3645,…

For each probability and percentile problem, draw the picture.Suppose that the length of long distance phone calls, measured in minutes, is known to have an exponential distribution with the average length of a call equal to 12 minutes. Part (g) Find the probability that a phone call lasts less than 13 minutes. (Round your answer to four decimal places.) Part (h) Find the probability that a phone call lasts more than 13 minutes. (Round your answer to four decimal places.) Part (i) Find the probability that a phone call lasts between 9 and 13 minutes. (Round your answer to four decimal places.)

Suppose the mean of X is 94. What does the mean of X become if you multiply X by 1.22?  (Use two decimal places, ex: 12.34)

A mail order company has an 8% success rate. If it mails advertisements to 562 people, find the probability of getting less than 38 sales. Round z-value calculations to 2 decimal places and final answer to at least 4 decimal places. P (X<38) = Thank you!

Suppose that we doubled everyone's original salary what will happen to the mean and sd