Two students are comparing scientific experiments to investigations. They came up with the following ideas. Student A: Testing p
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<span>The probability that one customer will place a take-out order is .45.
The probability that one customer will place an "eat in" order is .55.
Of 4 randomly selected customers, the probability that exactly 3 will order "take out" is given by the following:
</span>
The probability that one customer will place an "eat in" order is .55.
Of 4 randomly selected customers, the probability that exactly 3 will order "take out" is given by the following:
</span>
Answer:
And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:
And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C
Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the maximum monthly temperature of a population, and for this case we know the distribution for X is given by:
Where and
We are interested on this probability
And the best way to solve this problem is using the normal standard distribution and the z score given by:
If we apply this formula to our probability we got this:
And we can find this probability with the complement rule and using the normal standard distributon table or excel we got:
And if we convert this to a % we got 18.2 % of maximum temperatures higher or equal than 32 C