Question
In: Statistics and Probability
The amount of time to complete a physical activity in a PE class is approximately normally...
The amount of time to complete a physical activity in a PE class is
approximately normally distributed with a mean of 36.4 seconds and
a standard deviation of 7.9 seconds.
a)What is the probability that a randomly chosen student completes
the activity in less than 26.7 seconds?
b)
What is the probability that a randomly chosen student completes
the activity in more than 42.6 seconds?
c)
What proportion of students take between 30 and 40 seconds to
complete the activity?
d)
85% of all students finish the activity in less
than....seconds.
Solutions
Expert Solution
a).the probability that a randomly chosen student completes the activity in less than 26.7 seconds be:-
[ in any blank cell of excel type =NORMSDIST(-1.2278) ]
b).the probability that a randomly chosen student completes the activity in more than 42.6 seconds be:-
[ in any blank cell of excel type =NORMSDIST(0.7848) ]
c).the proportion of students take between 30 and 40 seconds to complete the activity is:-
[ in any blank cell of excel type =NORMSDIST(0.6757) ]
[ in any blank cell of excel type =NORMSDIST(-0.8101) ]
d).let, a be the time.
according to the problem,
[ in any blank cell of excel type =NORMSINV(0.85) ]
85% of all students finish the activity in less than 45.59 seconds.
*** if you have any doubts about the problem please mention it in the comment box... if satisfied please LIKE.
orchestra answered 2 years agoRelated Solutions
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