Please help me! [One Step Inequalities]

The Wilson family had 5 children. Assuming that the probability of a child being a girl is 0.5, find the probability that the Wi

Dafna11 [192]

Answer:

0.813

0.500

Step-by-step explanation:

Use binomial probability.

P = nCr p^r q^(n−r)

where n is the number of trials,

r is the number of successes,

p is the probability of success,

and q is the probability of failure (1−p).

In this problem, n = 5, p = 0.5, and q = 0.5.

"At least 2 girls" means r = 2, 3, 4, or 5.

Or, we can use the complement.

P(at least 2 girls) = 1 − P(at most 1 girl)

P(at least 2 girls) = 1 − P(r=0 or r=1)

P(at least 2 girls) = 1 − ₅C₁ (0.5)¹ (0.5)⁵⁻¹ − ₅C₀ (0.5)⁰ (0.5)⁵⁻⁰

P(at least 2 girls) = 1 − 5 (0.5) (0.5)⁴ − 1 (1) (0.5)⁵

P(at least 2 girls) = 1 − 6 (0.5)⁵

P(at least 2 girls) ≈ 0.813

"At most 2 girls" means r = 0, 1, or 2.

P(at most 2 girls) = P(r=0, r=1, or r=2)

P(at most 2 girls) = ₅C₀ (0.5)⁰ (0.5)⁵⁻⁰ + ₅C₁ (0.5)¹ (0.5)⁵⁻¹ + ₅C₂ (0.5)² (0.5)⁵⁻²

P(at most 2 girls) = 1 (1) (0.5)⁵ + 5 (0.5) (0.5)⁴ + 10 (0.5)² (0.5)³

P(at most 2 girls) = 16 (0.5)⁵

P(at most 2 girls) = 0.500

4 0

3 years ago

Finals are over, and you are moving back home for the summer. You need to rent a truck to move your possessions from the colleg

rewona [7]

In short you just multiply 0.480.48 by the amount of miles you drive add that to 24.9024.90 and you get you total
for example: if you take the first company if you drive 200 miles per day it will cost you 24.9024.90 with an extra 96.096 wich will add up to 120.99849 in total per day

5 0

2 years ago

What does (d+3) represent in 4.5(d+3)=45

Scrat [10]

Answer:

(d + 3) would be 10

Step-by-step explanation:

Step 1: Distribute

$4.5(d + 3) = 45$

$(4.5 * d) + (4.5 * 3) = 45$

$4.5d + 13.5 = 45$

Step 2: Subtract 13.5 from both sides

$4.5d + 13.5 - 13.5 = 45 - 13.5$

$4.5d = 31.5$

Step 3: Divide both sides by 4.5

$\frac{4.5d}{4.5} = \frac{31.5}{4.5}$

$d = 7$

Step 4: Determine what (d+3) is

$(d + 3)$

$(7 + 3)$

$10$

Answer: (d + 3) would be 10

3 0

2 years ago

Read 2 more answers

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

Kisachek [45]

Answer:

$35x - \frac{9x^2}{2} + C$

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes $35x - \frac{9x^2}{2} + C$ . We add a constant C for any possible constant that was eliminated during differentiation.

4 0

3 years ago

6th grade math i dont understand!!!!!!

Tema [17]

Umm im older and I dont even understand that

5 0

2 years ago