Using z-scores, it is found that the value of z is z = 1.96.
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Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula, which for a measure X, in a distribution with mean
and standard deviation
, is given by:
- It measures how many standard deviations the measure is from the mean.
- Each z-score has an associated p-value, which is the percentile.
- The normal distribution is symmetric, which means that the middle 95% is between the <u>2.5th percentile and the 97.5th percentile</u>.
- The 2.5th percentile is Z with a p-value of 0.025, thus Z = -1.96.
- The 97.5th percentile is Z with a p-value of 0.975, thus Z = 1.96.
- Thus, the value of Z is 1.96.
A similar problem is given at brainly.com/question/16965597
Answer:
Step-by-step explanation:
Given that A shipment contains 6000 batteries, and 1% of them do not meet specifications.
Sample size =49
If x is the number of batteries not meeting specifications then
x is binomial with n =49 and p = 0.01
Because i) each toy is independent of the other
ii) There are only two outcomes
Probability whole shipment is accepted = Prob (X≤3)
=0.9885
Hence almost all shipments would be accepted.
<span>8,980,000 = 8.98 x 10</span>⁶
Y = 0 + 2
Since it is a horizontal line, the slope is m = 0.
For the y-intercept, the line passes through 2 so therefore, the y-intercept is 2 positive.
Answer:
9261
Step-by-step explanation:
V=6A3/2
36=6·26463/2
36=9261