For a normally distributed variable X with mean 40 and standard deviation 10, what is the probability that X equals exactly 30? In notation, what is P (X = 30) ? %3D O 0.841 O 0.242 O 0.159

Suppose that a college determines the following distribution for X=number of courses taken by a full-time student this semester:    Value of X:  3       4       5          6 Probability 0.05.        0.25    0.27   a) The probability for X=4 is missing, What is it?    b) What is the average number of courses full-time students at this college take this semester? c) What is the standard deviation of the number of courses full-time students at this college take this semester. d) What is P(X>4.7)

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 =

New York is known as "the city that never sleeps." A random sample of 25 New Yorkers were asked how much sleep they get per night and the sample mean was 7.3 hours. To test if New Yorkers sleep less than 8 hours a night on average (Ho: u = 8 v.s. HA: u < 8, where u is the mean number of hours New Yorkers sleep a night), the P-value is (i) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours a night, when New Yorkers actually sleep less than 8 hours per night on average. (ii) the probability of getting a random sample of 25 New Yorkers that on average sleep 7.3 hours or less a night, when New Yorkers actually sleep 8 hours per night on average. (iii) the probability that New Yorkers on average sleep 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3 hours a night (iv) the probability that New Yorkers on average sleep less than 8 hours per night, given that the 25 randomly sampled New Yorkers on average sleep 7.3…