Solve the system of equations and choose the correct answer from the list of options.
2 answers:
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Answer:
Step-by-step explanation:
The probability mass function P(X = x) is the probability that X happens x times.
When n trials happen, for each , the probability mass function is given by:
In which p is the probability that the event happens.
is the permutation of n elements with x repetitions(when there are multiple events happening(like one passes and two not passing)). It can be calculated by the following formula:
The sum of all P(X=x) must be 1.
In this problem
We have 3 trials, so
The probability that a wafer pass a test is 0.7, so
Determine the probability mass function of the number of wafers from a lot that pass the test.
Answer with explanation:
An Unbiased Dice is Rolled 199 times.
Frequency of outcomes 1,2,3,4,5,6 are=28, 29, 47, 40, 22, 33.
Probability of an Event
→→→To check whether the result are significant or not , we will calculate standard error(e) and then z value
1.
→→If the value of z is between 2 and 3 , then the result will be significant at 5% level of Significance.Here value of z is very less, so the result is not significant.
2.
Result is not significant.
3.
Result is not significant.
4.
Result is not significant.
5.
Result is not significant.
6.
Result is not significant.
⇒If you will calculate the mean of all six z values, you will obtain that, z value is less than 2.So, we can say that ,outcomes are not equally likely at a 0.05 significance level.
⇒⇒Yes , as Probability of most of the numbers that is, 1,2,3,4,5,6 are different, for a loaded die , it should be equal to approximately equal to 33 for each of the numbers from 1 to 6.So, we can say with certainty that loaded die behaves differently than a fair die.