A factory received a shipment of 10 generators, and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.
Answers
Answer:
A) 0.026
B) 0.130
Step-by-step explanation:
Complete Question
A factory received a shipment of 10 generators and the vendor who sold the items knows there are 4 generators in the shipment that are defective. Before the receiving foreman accepts the delivery, he samples the shipment, and if too many of the generators in the sample are defective, he will refuse the shipment. Give answer as a decimal to three decimal places.
(A) If a sample of 4 generators is selected, find the probability that all in the sample are defective.
(B) If a sample of 4 generators is selected, find the probability that none in the sample is defective.
Solution
A) This is a binomial distribution problem
Binomial distribution function is represented by
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 4
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 4) = ⁴C₄ (0.40)⁴ (0.6)⁴⁻⁴ = 0.0256 = 0.026 to 3 d.p.
B) n = total number of sample spaces = number of generators to be picked = 4
x = Number of successes required = number of defective generators required = 0
p = probability of success = probability that a randomly selected generator is defective = (4/10) = 0.40
q = probability of failure = probability that a randomly selected generator is NOT defective = 1 - p = 1 - 0.40 = 0.60
P(X = 0) = ⁴C₀ (0.40)⁰ (0.6)⁴⁻⁰ = 0.1296 = 0.130 to 3 d.p.
Hope this Helps!!!
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I will mark you brainliest what is 1+1
Answers
Answer:
Shifts 4 units down --->
Stretches f(x) by a factor of 4 away from x-axis--->
Shifts f(x) 4 units right--->
Compress f(x) by a factor of 1/4 toward the y-axis --->
Step-by-step explanation:
We are given
We need to match the transformations.
1) shifts f(x) 4 units down.
When function f(x) shifts k units down the new function becomes f(x)-k
In our case
So, Shifts 4 units down --->
2) Stretches f(x) by a factor of 4 away from x-axis
When function f(x) is stretched by a factor of b away from x-axis the new function becomes f(bx)
So, Stretches f(x) by a factor of 4 away from x-axis--->
3) Shifts f(x) 4 units right
When function f(x) shifts h units right the new function becomes f(x-h)
So, Shifts f(x) 4 units right--->
4) Compress f(x) by a factor of 1/4 toward the y-axis
When function f(x) is compressed by h factor of a toward the y-axis the new function becomes h.f(x)
Compress f(x) by a factor of 1/4 toward the y-axis --->
(Option Not given)
(If we compress f(x) by a factor of 4 towards y-axis we get g(x)=8x-24)
Answers
Answer:
y=1/2x-2
Step-by-step explanation:
y= 1/2x-2
hope that help!
Answers
Answer:
No solution
Step-by-step explanation:
add 3 both side
\sqrt{x-4}=-2
Answers
Answer:
$37.8125
Step-by-step explanation:
$2.75 x 12.5 = 34.375
34.375 x 10% = 3.4375
$34.375 + 3.4375 = 37.8125
What is the most common color car in the school parking lot?
Does Jalen own a cell phone?
What is your favorite color?
HELP
Answers
Answer:
so the question is going to be .B
Step-by-step explanation:
0 10 3
10 20 4
20 30 6
30 40 4
40 50 3
Find the proportion of selling times in the sample that are less than 20 days claims that it can sell a detached, residential house faster than any other realty company.
Answers
Answer:
0.35
Step-by-step explanation:
Given the data:
Selling Time___ Frequency
0 10____________3
10 20__________ 4
20 30__________ 6
30 40__________ 4
40 50__________ 3
Proportion of selling time in sample above that are less Than 20 days :
Taking the sum of the frequency :
Hence, total frequency = (3 + 4 + 6 + 4 + 3) = 20
Selling time which is less Than 20 days :
(0 - 10) = 3
(10 - 20) = 4
Total = (3 + 4) = 7
Proportion = selling time less Than 20 days / total frequency
= 7 / 20
= 0.35