Alocal poll found that only 17% of the 546 people surveyed feel the mayor's new city tax plan is effective. find the mean of this binomial distribution

Answer-

The mean of this binomial distribution was found to be 92.82

Solution-

The distribution is given as Binomial distribution.

In binomial distribution the mean is calculated as,

where

n = number of trials = 546

p = probability of success = 17% = 0.17

Putting the values,

Therefore, the mean of this binomial distribution is 92.82

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b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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step-by-step explanation: