Answer: There are 85 Helena's client own stocks, bonds and mutual funds.
Step-by-step explanation:
Since we have given that
Let A: who own stocks
B : who own bonds
C : who own mutual fund
So, According to question,
n(A) = 288
n(B) = 200
n(C) = 184
n(A∩B) = 123
n(B∩C) = 106
n( A∩C) = 102
n(A∪B∪C) = 426
As we know the formula :
Hence, there are 85 Helena's client own stocks, bonds and mutual funds.
P(<em>Z</em> ≥ <em>z</em>) = 1 - P(<em>Z</em> ≤ <em>z</em>) = 0.06
==> P(<em>Z</em> ≤ <em>z</em>) = 0.94
==> <em>z</em> ≈ 1.7507
Answer:
0.1749
Step-by-step explanation:
We are to find the probability that none of the house-holds tuned to 50 minutes.
P(tune to 50 minutes) = 0.16
p = 0.16
q = 1 - 0.16
q = 0.84
number of households (n) = 10
x = number of households that tuned at 50 minutes
since none of the household tuned, then:
x = 0
Using the binomial expression:
P(x =0) = 0.1749
If you would like to know the maximum number of toys that can be put into each box, you can calculate this using the following steps:
the area of a toy: 1/2 * 1/2 = 1/4 square inch
the area of a box: 9 1/2 * 7 1/2 = 19/2 * 15/2 = 285/4 = 71 1/4 square inches
71 1/4 / 1/4 = 285/4 / 1/4 = 285/4 * 4/1 = 285 toys
The company can put 285 toys in each box.