Answer :
The probability that the number in a sample of 127 who do so differs from the expected value is 0.6198.
How to calculate probability?
The critical value, according to the data, is 84. the following will be the mean:
= np = 127 × 2/3 = 84.6
The standard deviation is also 5.3748. The corresponding z score will be:
= (84 - 86.67)/5.3748
= -0.50.
Therefore, the left tailed area will be:
P(z < -0.50) = 0.3099
Since, it's two tailed, we'll multiply by 2. This will be:
= 2 × 0.3099
= 0.6198
In conclusion, the probability is 0.6198.
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