Need help calculating on this. Thank you. QUESTION: Normal Distribution with a =

Question

Need help calculating on this. Thank you. QUESTION: Normal Distribution with a = 6.8 and standard deviation = 1.6 is the description of the Iowa Test vocabulary scoresof seventh grade students. A continuous probability model for thescore of a randomly chosen student. The score of the randomlychosen student X for short. (a.) Write the event the student chosen has a score of 10 orhigher in terms of X. (b.) Find the probability of this event. Need help calculating on this. Thank you. QUESTION: Normal Distribution with a = 6.8 and standard deviation = 1.6 is the description of the Iowa Test vocabulary scoresof seventh grade students. A continuous probability model for thescore of a randomly chosen student. The score of the randomlychosen student X for short. (a.) Write the event the student chosen has a score of 10 orhigher in terms of X. (b.) Find the probability of this event.

Explanation / Answer

Event is X>10. P(X>10)=1-P(X<=10)=1-P(Z<=(10-6.8)/1.6)  Where Z=(X-)/ with =6.8; =1.6. Z has a standard normal distribution with =0 and =1. Hence P(X>10)=1-P(Z<=2)=.02275

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