solution:
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
find the probability that (p∧ ≤ 0.06) , substitute the values of sample units (n) , and the probability of nonconformities (p) in the probability mass function of binomial distribution.
Consider x to be the number of non-conformities. It follows a binomial distribution with n being 50 and p being 0.03. That is,
binomial (50,0.02)
Also, the estimate of the true probability is,
p∧ = x/50
The probability mass function for binomial distribution is,
Where,
X=0,1,2,3,…..; q=1-p
The calculation is obtained as
P(p^ ≤ 0.06) = p(x/20 ≤ 0.06)
= 50cx ₓ (0.03)x ₓ (1-0.03)50-x
= (50c0 ₓ (0.03)0 ₓ (1-0.03)50-0 + 50c1(0.03)1 ₓ (1-0.03)50-1 + 50c2 ₓ (0.03)2 ₓ (1-0.03)50-2 +50c3 ₓ (0.03)3 ₓ (1- 0.03)50-3 )
=( ₓ (0.03)0 ₓ (1-0.03)50-0 + ₓ (0.03)1 ₓ (1-0.03)50-1 + ₓ (0.03)2 ₓ (1-0.03)50-2 ₓ (0.03)3 ₓ (1-0.03)50-3 )
Answer:
9.50h ≤ 460
Step-by-step explanation:
Answer:
Considering the prediction of people who will fill out the form and receive the refund, the company should expect its net profit to drop to:
- <u>$174.6 per computer tablet</u>.
Step-by-step explanation:
The benefit per tablet before the rebate program is $180 per computer tablet, however, once the rebate program is implemented, 18% of people who purchase their computer tablet are expected to complete the form and obtain the VISA card, which would reduce the benefit as shown below:
- 18% benefit from computer tablets = original benefit - refund value.
- 18% benefit from computer tablets = $180 - $30 = $150
With this we identify that 18% of computer tablets will have a benefit reduced to $150, however, as the remaining percentage of tablets (82%) will still have the benefit of $180, the general benefit must be calculated to have a single value, as it's shown in the following:
- Overall benefit = Percentage of tablets with reimbursement * Benefit of tablets with reimbursement + Percentage of tablets without reimbursement * Benefit of tablets without reimbursement.
- General profit = 18% * 150 + 82% * 180
- <u>General profit = $ 174.6
</u>
By having a $ 30 rebate on 18% of the tablets, the overall benefit drops to $174.6.
Given:
2 parallelograms with an area of 9 1/3 yd²
height of each parallelogram is 1 1/3 yd
Area of parallelogram = base * height
We need to divide the combined area into two to get each parallelogram's base.
9 1/3 = ((9*3)+1)/3 = 28/3
28/3 ÷ 2 = 28/3 * 1/2 = 28/6 yd² or 4 4/6 yd² ⇒ 4 2/3 yd²
Area of each parallelogram is 4 2/3 yd²
4 2/3 yd² = base * 1 1/3 yd
14/3 yd² ÷ 4/3 yd = base
14/3 yd² x 3/4 yd = base
14*3 / 3*4 = base
42 / 12 = base
3 6/12 yd = base
or 3 1/2 yd = base
a) the base of each parallelogram is 3 1/2 yards
b) we can assume that the two parallelograms form a rectangle.
area of a rectangle is length times width.
length is 3 1/2 yds * 2 = 7 yds
width is 3 1/2 yds
Area of rectangle = 7 yds * 3 1/2 yds
Area = 7 yd * 7/2 yd
Area = 7*7 / 2 yd²
Area = 49 / 2 yd²
Area = 24 1/2 yd²
