The random variable is the number of persons living in a randomly selected occupied housing unit. Its probability distribution is as fallow y 1 2 3 4 5 6 7 P ( Y = y ) 0.265 0.327 0.161 0.147 0.065 0.022 0.023 calculate the mean of the random variable Y calculate the standard deviation of the random variable Y

Assume  that    variable    z    has    a    standard    normal    distribution    in    the    population. Use    the    table  of the standard Normal Distribution (attached) to find the    probability    of    a    z    value in    each    of    the    following    intervals: (a)    0    to    1.65;       (b)    1.95    to    ∞;        (c)    -1.30    to    0;       (d)    -∞ to    1.00.

Let Z be the standard normal random variable. Find P(Z>0.50) 0.0228 0.9772 0.5000 0.3085 0.6915

Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 1 2 4 Probability 0.264 0.289 0.238 0.156 0.037 0.016 ... (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is 1.5. (Round to one decimal place as needed.) The variance is (Round to one decimal place as needed.)