Question

Question 10 1 pts The time that a student takes to reach the FIU's Miramar campus follows the normal distribution with a mean of 29 minutes and a standard deviation of 7. What is the probability that a randomly selected student takes between 24 and 30 minutes to reach the campus? O .29 36 32 O 68

Answer 1

Solution :

Given that ,

mean = $\mu$ = 29

standard deviation = $\sigma$ = 7

P(24< x < 30) = P[(24 - 29) /7 < (x - $\mu$ ) / $\sigma$ _{$\bar x$} < (30 - 29) /7 )]

= P(-0.71 < Z < 0.14)

= P(Z <0..14) - P(Z <-0.71 )

Using z table,  

=   0.5557 - 0.2389

=0.32