One of two doctors, dr. hibbert and dr. nick, is called upon to perform a series of
n surgeries. let h be the indicator r. v. for dr. hibbert performing the surgeries, and
suppose that e(h)=p. given that dr. hibbert is performing the surgeries, each surgery
is successful with probability a, independently. given that dr. nick is performing the
surgeries, each surgery is successful with probability b, independently. let x be the
number of successful surgeries.
(a) find the joint pmf of h and x.
(b) find the marginal pmf of x.
(c) find the conditional pmf of h given x=k.

Muscles, a membership-only gym is hoping to open a new branch in a small city in pennsylvania that currently has no fitness centers. according to their research approximately 12,600 residents live within driving distance of the gym. muscles sends out surveys to a sample of 300 randomly selected residents in this area (all of who respond) and finds that 40 residents say they would visit a gym if one was located in their area. based on the past survey research, muscles estimates that approximately 30% of these respondents would actually join the gym if they opened one in the area. based on this information and the results of the sample survey, about how many residents should muscles expect to join its new branch? a) 134 b) 504 c) 1,680 d) 3,780

The expression 6x2 gives the surface area of a cube, and the expression x3 gives the volume of a cube, where x is the length of one side of the cube. find the surface area and the volume of a cube with a side length of 6m

Which expression gives you the distance between the points (5,1)and(9,-6)