For a normal variable X~ N(u = 76, o = 5.5), find the probability P(X < 82.05) : P(X < 82.05) : (Round the answer to 4 decimal places)
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- Assume that adults have IQ scores that are normally distributed with a mean of mu equals 100 and a standard deviation sigma equals 20 . Find the probability that a randomly selected adult has an IQ less than 95 a. Find the z-score: z = nothing (round to 2 decimal places) b. Find the probability: nothing (use 4 decimal places)Assume that the random variable X is normally distributed with mean = 15 and standard deviation = 2. Let n = 4. Find P( > 16) and P( < 16).Assume that the random variable X is normally distributed, with mean r=80 and standard deviation a=12. Compute the probability P(X < 95).
- The percentage of vehicles on a freeway that violate the speed limit is π = 0.88 You randomly clock n = 80 vehicles. 34 In the previous question, what is the standard deviation of the number of vehicles violating the speed limit? a 2.761 b 2.907 c 3.060 d 3.221A continuous random variable is normally distributed. The probability that a value in the distribution is greater than 47 is 0.3085. Find the probability that a value in the distribution is less than 47.The systolic blood pressure (given in millimeters) of males has an approximately normal distribution with mean µ = 125 and standard deviation σ = 14. Systolic blood pressure for males follows a normal distribution. a. Calculate the z-scores for the male systolic blood pressures 102 and 149 millimeters. Round your answers to 2 decimal places. z-score for 102 millimeters: z-score for 149 millimeters: Find the probability that a randomly selected male has a systolic blood pressure between 102 and 149. Round your answer to 4 decimal places.
- Assume that the probability of a being born with Genetic Condition B is π=π=14/15. A study looks at a random sample of 173 volunteers.Find the most likely number of the 173 volunteers to have Genetic Condition B. (Round answer to one decimal place.) μ = Let XX represent the number of volunteers (out of 173) who have Genetic Condition B. Find the standard deviation for the probability distribution of XX. (Round answer to two decimal places.) σ = Use the range rule of thumb to find the minimum usual value μ-2σ and the maximum usual value μ+2σ.Enter answer as an interval using square-brackets only with whole numbers. ? Round your answer to one decimal place.usual values =The time to first failure X of the software of a medical linear acceleratormay be modeled normal with μ = 1100 hours and σ = 50 hours.A test was made of H : u=92 versus H, : pµ>92. The P-value was 0.12. What does the P-value indicate? If u =92, then the probability of observing a test statistic as extreme or more extreme than the one actually observed is
- The level of nitrogen oxides (NOX) and nonmethane organic gas (NMOG) in the exhaust over the useful life (150,000150,000 miles of driving) of cars of a particular model varies Normally with mean 8080 mg/mi and standard deviation 66 mg/mi. A company has 1616 cars of this model in its fleet. Using Table A, find the level ?L such that the probability that the average NOX + NMOG level ?¯x¯ for the fleet greater than ?L is only 0.030.03 ? (Enter your answer rounded to three decimal places. If you are using CrunchIt, adjust the default precision under Preferences as necessary. See the instructional video on how to adjust precision settings.)Plot the appraisal price in dollars that can be paid for combined lease bonus and speculative drilling cost using the following risk: 1,5, and 10 %. The prospect is a 80- acre tract, pay thickness is 100 ft. The probability of dry hole is set at 50%. If the well is successful, recovery in bbls per acre-ft may be as low as 100 to as high as 200, with most probable recovery being 150 bbl/acre-ft. Operating profit may be taken as $ 3 per barrel. Completion costs for a successful well will exceed the cost of a dry well by $40,000. Assume the exploration budget is 0, 3, 6 and 10 MM dollarsLet us suppose that a particular lecturer manages, with probability 1, to develop exams that have mean 60 and standard deviation 13. The lecturer is teaching two classes, one of size 100 and the other one of size 36, and is about to give an exam to both classes. We treat all students as being independent. Give your answers below in three decimal places. (a) The approximate probability that the average test score in the class of size 100 exceeds 65 is (a), where is the cumulative distribution function of a standard normal random variable. Find the value of a.