Suppose a nonnegative random variable X has mean 50. a) Suppose that we know Var(X) = 25. Find a bound for P(X≥95P(X≥95 or X≤5)X≤5). P(X≥95P(X≥95 or X≤5)X≤5) ≤≤ b) Suppose that we also know that X is binomially distributed. Calculate the precise probability P(X≥95P(X≥95 or X≤5)X≤5). The precise probability P(X≥95P(X≥95 or X≤5)X≤5) is c) Compare the upper bound from (a) with the precise value of P(X≥95P(X≥95 or X≤5)X≤5) from (b). Type "IS" if the precise value is consistant with the bound and "IS NOT" if it is not. Then type "GREATER" if the precise value is greater than the upper bound and "LESS" if it is less. The exact value consistant with the bound from Chebyshev's Theorem estimated above. However, the exact value is much than the upper bound.

29 mil

step-by-step explanation:

d. vertex

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

first, you divide the triangle in two, tô form a retangle triangle. after, using pythagoream theorem:

18^2 = 14^2 + (x/2)^2

(x^2/4) + 196 = 324

x^2/4 = 324 - 196

x^2/4 = 128

x^2 = 512

x = √512

x = √2^9

x = 16√2 cm

i hope i you.