Let θ be a bernoulli random variable that indicates which one of two hypotheses is true, and let p(θ=1)=p. under the hypothesis θ=0, the random variable x is uniformly distributed over the interval [0,1]. under the alternative hypothesis θ=1, the pdf of x is given byfx∣θ(x∣1)={2x,0, if 0≤x≤1, otherwise. consider the map rule for deciding between the two hypotheses, given that x=x. suppose for this part of the problem that p=3/5. the map rule can choose in favor of the hypothesis θ=1 if and only if x≥c1. find the value of c1.

Someone answer asap for ! max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a. the median of max’s data is 250 b. more than half of the data points max recorded were 177 centimeters. c. a data point chosen at random is as likely to be above the mean as it is to be below the mean. d. every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Find y to the nearest hundreds place

Decide whether the rates are equivalent. 96 miles on 4 gallons, 380 miles on 15 gallons