I need help with finding percentage after solving z score.

label Statistics
account_circle Unassigned
schedule 1 Day
account_balance_wallet $5

 mean=35,000 km

 standard deviation=1500 km

What percent of tires will have a life that exceeds 26,000 km?

If 2000 tires are purchased, how many tires would you expect to last more than 28,000 km?

Sep 25th, 2015

Thank you for the opportunity to help you with your question!

1. We need P(x>26000)

first, transform x to z- score: z=(26000-35000)/15000=-.6

P(z>-.6)= 1-P(z<-.6)=1-.2743=.7257=72.57%

2. P(x>28000)=P(z>(28-35)/15)=-.47

P(z>-.47)=1-P(z<-.47)=1-.3192=.6808 or 68.08%

68.08% of 2000=1362 would have life exceeding 28,000 km.


Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 26th, 2015

Did you know? You can earn $20 for every friend you invite to Studypool!
Click here to
Refer a Friend
...
Sep 25th, 2015
...
Sep 25th, 2015
Jun 29th, 2017
check_circle
Mark as Final Answer
check_circle
Unmark as Final Answer
check_circle
Final Answer

Secure Information

Content will be erased after question is completed.

check_circle
Final Answer