obability of z using the standard normal distribution. 1. p (0 < z < 1.49) 2. p (-1.52 < z < 1.43) 3. p (z > 1.97)
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Find the probability of z using the standard
1. p (0 < z < 1.49)
2. p (-1.52 < z < 1.43)
3. p (z > 1.97)
Step by step
Solved in 2 steps with 2 images
- find the value of the probability of the standard normal variable Z corresponding to the shared area under the standard normal curve.Find the indicated probability using the standard normal distribution. P(z< - 0.28) Click here to view page 1 of the standard normal table. Click here to view page 2 of the standard normal table. P(z< - 0.28) = (Round to four decimal places as needed.)Using the normal distribution table find ZO such that: P(Zo sZs2.85) =.0646 1.28 2.70 1.50 1.42
- he probability distribution of x, the number of defective tires on a randomly selected automobile checked at a certain inspection station, is given in the following table. x 0 1 2 3 4 p(x) 0.56 0.17 0.06 0.03 0.18 (a) Calculate the mean value of x. μx = tires per car (b) Interpret the mean value of x in the context of a long sequence of observations of number of defective tires. In repeated inspections of cars at this station, the mean number of defective tires is tires per car. (c) What is the probability that x exceeds its mean value? P(x > μx) = (d) Calculate the standard deviation of x. (Round your answer to four decimal places.) σx = tires per carUsing the normal distribution table find Z0 such that: P(-ZosZs Zo) = .994 2.75 1.54 2.11 2.18About % of the area under the curve of the standard normal distribution is outside the interval Z = (-1.07,1.07) (or beyond 1.07 standard deviations of the mean). Please show your answer to 2 decimal places.
- Using the z-score table for a normal distribution, find P(z 0.86) 0.3051 0.1949 0.8051 0.6102Using the normal distribution table find Z0 such that: P(Z0 ≤ Z ≤ 2.85) =.0646ALler Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and standard devlation 1. Shaded area is 0.8012. -3 -2 -1 0. 1 2 O(-1.17, 1.42) 0(-1.88, 0.84) o(-0.84, 1.88) 0(-1.42, 1.17) Continue 2021 McGraw-Hill Education. All F SAMSUNG