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:
33 meters
51 meters
Step-by-step explanation:
84-18= 66
66/2= 33
33+18= 51
Check your answer:
51+33=84
We are given with the equation y"+ 9 y = t^2 * e^3 t + 6 and asked to determine the general solution to this equation. we convert the equation into r^2 + 9 = 0. The solution to this equation is r = +/- 3i. This solution converted to trigonometric function is equivalent to <span>y</span>= <span>C1 </span>cos3t + <span>C2 </span>sin<span>3t. </span>
X= 16.
All you have to do is isolate x to one side.
To do this, subtract 10 from 26.
26-10=16
