Solve for z. 1+2z<5.
1 answer:
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Answer:
a) P=0
b) P=1
c) P=0
d) X=7.1645
Step-by-step explanation:
We have the pH of soil for some region being normally distributed, with mean = 7 and standard deviation of 0.10.
a) What is the probability that the resulting pH is between 5.90 and 6.15?
We calculate the z-score for this 2 values, and then compute the probability.
Then the probability is
b) What is the probability that the resulting pH exceeds 6.10?
We repeat the previous procedure.
c) What is the probability that the resulting pH is at most 5.95?
d. What value will be exceeded by only 5% of all such pH values?
We have to calculate the value of pH for which only 5% is expected to be higher. This can be represented as P(X>x)=0.05.
In the standard normal distribution, it happens for a z=1.645.
Then, we can calculate the pH as: