Answer:
A random movie is between 1.8 and 2.0 hours.
z=1.8-1.9/0.3= -0.33= 0.3707
z=2.0-1.9/0.3= 0.33= 0.6293
0.6293-0.3707= 0.2586
Therefore, the chance a random movie is between 1.8 and 2.0 hours long is 0.2586.
A movie is longer than 2.3 hours.
z=2.3-1.9/0.3 =1.33 =0.9082
1-0.9082= 0.0918
Therefore, the chance a movie is longer than 2.3 hours is 0.9082.
The length of movie that is shorter than 94% of the movies
z=x-1.9/0.3= 0.94
z=x-1.9/0.3= 1-0.94= 0.06
=x-1.9/0.3= 0.06= -1.56
x= 1.432
Therefore, the length of the movie that is shorter than 94% of the movies about 1.4 hours.
Step-by-step explanation:
