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normal distribution question

a teacher travels from home by car each weekday. her journey times are normally distributed with a mean of 30.4 mins and a standard deviation of 3.6 mins. calculate the probability that her journey time on a particular day takes between 25 minutes and 35 minutes.

ive standardised and got p(-1.5<z<1.28), where do i go next?
Reply 1
Original post by shubhondeb
a teacher travels from home by car each weekday. her journey times are normally distributed with a mean of 30.4 mins and a standard deviation of 3.6 mins. calculate the probability that her journey time on a particular day takes between 25 minutes and 35 minutes.

ive standardised and got p(-1.5<z<1.28), where do i go next?

Draw a bell curve and consider the region you need to find.

Are you doing old (modular) spec or new spec? The method you use depends on this.
Reply 2
To find the relevant area of the Normal Distribution note:

P(a<z<b)=P(z<b)P(z<a), P( a \, < \, z \, < \, b ) = P(z < b) - P(z < a), using tables to find P(a) and P(a).

Also do you know how to deal with "P(a)" where a is negative?

Spoiler



Can you take it forward from here?
(edited 6 years ago)
Reply 3
Original post by Notnek
Draw a bell curve and consider the region you need to find.

Are you doing old (modular) spec or new spec? The method you use depends on this.


old spec s1
Reply 4
Original post by simon0
P(a<z<b)=P(b)P(a), P( a \, < \, z \, < \, b ) = P(b) - P(a), using tables to find P(a) and )(a).

Can you take it forward from here?

Ah i see, thank you!

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