Using the binomial distribution, it is found that the mean of X is of 12, with a standard deviation of 3.36.
For each chip, there are only two possible outcomes, either it is defective, or it is not. The probability of a chip being defective is independent of any other chip, hence, the binomial distribution is used to solve this question.
Binomial probability distribution
Probability of exactly <u>x successes on n repeated trials, with p probability.</u>
The mean of the binomial distribution is:
The standard deviation of the binomial distribution is:
In this problem:
- Six percent of computer chips produced by Cheapo Chips are defective, hence .
- Each month a random sample of 200 chips manufactured that month are taken, hence
Then:
The mean of X is of 12, with a standard deviation of 3.36.
A similar problem is given at brainly.com/question/12473640
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Answer:
∠Y = 55°
Step-by-step explanation:
Complementary angles have a sum of 90°.
∠S + ∠Y = 90°
(5∠Y -240°) +∠Y = 90°
6∠Y = 330° . . . . . . . . . . . . add 240°, collect terms
∠Y = 55° . . . . . . . . . divide by 6
Answer:
In a state lottery, you must correctly select 5 numbers (in any order) out of 40 to win the top prize.
1. How many ways can 5 numbers be chosen from 40 numbers?
40C5 = = 658008 ways.
2. You purchase one lottery ticket. What is the probability that you will win the top prize?
The answer is 5! ways or 120 ways.
Hence, probability of winning top prize = =0.0001 or 0.01 %
3. The order of the numbers mattered, will the probability of winning increase or decrease? Why?
The probability decreases.
The probability of winning a game when order matters is always less than the probability of winning a game when order does not matter. This is because the permutation is always greater than the combination.
Answer:
£74.10 is the total cost for 26 tickets
Step-by-step explanation:
£2.85 for 1 ticket.
For 26 tickets:
2.85 × 26 = £74.10
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Step-by-step explanation:
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