Answer:
1.64698 is the correct answer.
Step-by-step explanation:
Jelly beans - $0.98 per pound
chocolate drops - $0.67 per pounds
Terri's bag = 2.1 pounds and $1.56
p = represents the pounds jelly beans.
c = represents the pounds in chocolate drops
p + c = 2.1
0.98p + 0.67c = 1.56
c = 2.1 - p ; number of pounds of chocolate drops
0.98p + 0.67(2.1 - p) = 1.56
0.98p + 1.41 - 0.67p = 1.56
0.98p - 0.67p = 1.56 - 1.41
0.31p = 0.15
p = 0.15/0.31
p = 0.48 pounds of jelly beans
c = 2.1 - 0.48
c = 1.62 pounds of chocolate drops.
Answer:3.2
Step-by-step explanation:
To find the Area of a triangle your equation is A=1/2(hb), your area is 16
Given:
p = 90% = 0.9, the probability that an adult has had chickenpox by age 50.
Therefore,
q = 1 - p = 0.1, the probability that an adult has not had chickenpox by age 50.
Part (a)
Because there are only two answers: "Yes" or "No" to whether an adult has had chickenpox by age 50, the use of the binomial distribution is justified.
Part (b):
Calculate the probability that exactly 97 out of 100 sampled adults have had chickenpox.
The probability is
P₁ = ₁₀₀C₉₇ (0.9)⁹⁷ (0.1)³ = 0.0059
Answer: 0.006 or 0.6%
Part (c)
Calculate the probability that exactly 3 adults have not had chickenpox.
Theis probability is equal to
P₂ = 1 - P₁ = 1 - 0.006 = 0.994
Answer: 0.994 or 99.4%
Part (d)
Calculate the probability that at least 1 out of 10 randomly selected adults have had chickenpox.
The probability is
P₃ = ₁₀C₀ (0.9)⁰ (0.1)¹⁰ + ₁₀C₁ (0.9)¹ (0.1)⁹ = 10⁻¹⁰ + 10⁻⁹ = 10⁻⁹ ≈ 0
Answer: 0
Part (e)
Calculate the probability that at most 3 out of 10 randomly selected adults have not had chickenpox.
The probability is
P₄ = 1 - [₁₀C₀ (0.9)⁰(0.1)¹⁰ + ₁₀C₁ (0.9)¹(0.1)⁹ + ₁₀C₂ (0.9)²(0.1)⁸ + ₁₀C₃ (0.9)³(0.1)⁷]
= 1 - (10⁻¹⁰ + 9 x 10⁻⁹ + 3.645 x 10⁻⁷ + 8.748 x 10⁻⁶)
= 1
Answer: 1.0 or 100%
