The average cost for two people to go to a movie is 20 The s

The average cost for two people to go to a movie is $20. The standard deviation is $3. Assume the cost is normally distributed. Find the probability that at any given theater, the cost will be more than $24 for two people to go to the movie. Refer to the table of values (Area Under the Standard Normal Distribution) as needed. If necessary, round intermediate calculations to the nearest hundredth. The probability that at any given theater, the cost will be more than $24 for two people to go to a movie is %.

Solution

mean = $20 ; std. deviation = $3

Z score = ( 24 -20)/3 = 1.33

we need to find P( z>=1.33 ) = 1 - P(z<=1.33)

P(z<=1.33) from normal tables = 0.90824

So, probanbility that at any theatre , cost will be more than $24 = 1 - 0.90824

= 0.09176

= 9.18 % ( rounded of to hundredth)