Question

You have to include the Excel formulas used.

Problem 1

If a coin is thrown into the air 10 times, and we are interested in knowing the probability that it will be expensive (face) (money) exactly 7 times, then:

_________________________                  =                             _____________________________%

Problem 2

In a survey, 1,000 people were asked if they shop at the X store regularly; the possible answers were dichotomous because they could only answer Yes or No. The results showed that 30% of the respondents answered yes (that is, they do buy at the store X regularly). If, based on this information, an experiment is conducted where 100 of these people are randomly selected, and these people are asked if they shop at the X store regularly, what is the probability that 20% or less of these 100 people interviewed answer Yes?

________________________                    =                             ____________________________%

Problem 3

In an evaluation of progress, made to 400 managers, the average of the scores was 70 and its standard deviation was 8.0, what is the probability that, if we select a manager at random (among the 400 that were evaluated ), did he get 70 or more?

Z                              =             __________________________

1-Z                          +             __________________________

Probability          =             __________________________ = ____________________%

Answer 1

1)

P(X = 7) = binom.dist(7,10,0.5,0)

= 0.1172

hence

11.72%

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