Given a fair coin and a fair 4 sided die, Jonathan and Joseph run the following experiment. Theyroll the die (letYcorrespond to the random variable associated with the roll). If they roll aytheythe flip the coinynumber of times, letZcorrespond to the random variable associated with thetotal number of heads they flip.(i) Find the marginal PMFs ofYandZ(i. e. findPY(y) andPZ(z)).(ii) Find the conditional PMFs ofYandZ(i. e. findPY|Z(y|z) andPZ|Y(z|y))

For which rational expression is -2 an excluded value of x?

Me 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.

Which coefficient matrix represents a system of linear equations that has a unique solution ? options in photo*