Sketch the area under the standard normal curve over the indicated interval and find the specified area. (Round your answer to f
our decimal places.) The area to the right of z = 0.05 is____________.
1 answer:
Answer:
Step-by-step explanation:
The normal distribution curve standard is bell shaped having mean =0 and std devition =1.
This is symmetrical about the y axis i.e. mean. More than 99% of the area under the curve lie between z=-3 to z=3
To find the area to the right of z =0.05 is equivalent to
calculating the
Probability that Z >0.05
= P(Z>0.05)
=0.5-0.0199
=0.4801
(the sketch is attached)
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Answer:
a. 0.7291
b. 0.9968
c. 0.7259
Step-by-step explanation:
a. np and n(1-p) can be calculated as:
#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:
#Define Y:
Y~(11.04,5.7408)
Hence, the probability of 12 or fewer is 0.8291
b. The probability that 5 or more fish were caught.
#Using normal approximation:
Hence, the probability of catching 5+ is 0.9968
c. The probability of between 5 and 12 is calculated as;
-From b above and a ,
=0.7291
Hence, the probability of between 5 and 12 is 0.7259