A Survey reveals that the waiting time for the bus service 179 during off-peak h

Question

A Survey reveals that the waiting time for the bus service 179 during off-peak hours is approximated by a normal distribution, whose mean and standard deviation are respectively 7 and 2 minutes. Find the probability of waiting for less than 6 minutes before boarding (4 decimals). Tries remaining: 2 Marked out of 2.00 Y Flag Question Tries remaining: 2 Marked out of 2.00 Y Flag Question Answer: Check Find the probability of waiting for more than 8 minutes before boarding (4 decimals). Answer: Check Assume that you have waited 5 minutes at the bus stop. What is the probability that you wait for a total of more than 8 minutes before boarding (4 decimals)? Tries remaining: 2 Marked out of 2.00 Y Flag question I = i Answer: Check

Explanation / Answer

mean = 7 ,std.deviation = 2

a)

By normal distribution formula,

z = ( x - mean) / s

= (6 - 7) / 2

= -0.5

Now,we need to find p( z < -0.5)

p(x < 6) = p( z < -0.5) = 0.3085

b)

By normal distribution formula,

z = ( x - mean) / s

= (8 - 7) / 2

= 0.5

Now,we need to find p( z > 0.5)

p(x >8 ) = p( z >0.5) = 0.3085

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