Answer:
a) P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation = P(z > 1) = 0.159
Step-by-step explanation:
a) This question can be solved using binomial distribution function formula
Using Binomial,
P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ
n = total number of sample spaces = number of refrigerators to be examined before getting 5 refrigerators with defective compressors = 6
x = Number of successes required = 5
p = probability of success = probability of examining a refrigerator with defective compressor out of the total 12 = 5/12 = 0.4167
q = probability of failure = probability of examining a refrigerator without defective compressor out of the total 12 = 1 - (5/12) = 7/12 = 0.5833
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833)⁶⁻⁵
P(X = 5) = ⁶C₅ (0.4167)⁵ (0.5833) = 1(0.01256)(0.5833) = 0.04397
P(X = 5) = 0.04397
b) The probability that X exceeds its mean by more than 1 standard deviation represents Z-score of z > 1
Using the normal distribution tables,
P(z > 1) = 1 - P(z ≤ 1) = 1 - 0.841 = 0.159
Answer: Wayne is 35, Mark is 34, and Stan is 33.
33+34+35 = 102
Answer:
x = -1
y = -9
Step-by-step explanation:
<u>A</u><u>d</u><u>d</u><u> </u><u>each linear equation:</u>
Sum: 5x = -5
<u>Divide each side by </u><u>5</u><u>:</u>
Quotient: x = -1.
<u>Substitute x = </u><u>-</u><u>1</u><u> into the </u><u>first</u><u> equation:</u>
4(-1) - y = 5
<u>Solve</u><u>:</u>
-4 - y = 5
<u>Add 4 to both sides of the equation:</u>
-y = 9
y = -9.
<u>Check with the second equation:</u>
-1 + -9 = -10.
Correct.
Answer: y - 10.6 = 9(x-1)
Step-by-step explanation:
One with a capital A and one with a small a
no other difference
