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Calculate the probability from the z-table.P(z >-0.45) P(z < 2.10) P(o <2<2.10) P(-0.45 < 2<2.10)...

Question

Calculate the probability from the z-table.P(z >-0.45) P(z < 2.10) P(o <2<2.10) P(-0.45 < 2<2.10)

Calculate the probability from the z-table. P(z >-0.45) P(z < 2.10) P(o <2<2.10) P(-0.45 < 2<2.10)



Answers

Find the indicated probability using the standard normal distribution. If convenient, use technology to find the probability. $P(-0.89<z<0)$

In this question. We want to find the shed at area understanding, Normal distribution. Cook. We want to find the probability in which a simple Z is between zero and 0.95

Crap. We want to find the indicated probability for the standard normal random variable Z probability that Z is less than negative 0.38 or that C is greater than 1.93 This question is challenging and understanding of standard normal probability distributions in particular how to find probabilities related disease scores. So to solve, but we need to do is first sketch this situation out. So we're looking for the area and yellow where the sum of the two yellow areas. The first is the left, a negative 20.38 The right is the right of 1.93 to find these areas. And some were going to use a table which maps negative Z scores under the probability to left of the Z score. So for the area and left as equals negative 0.38 We use the table directly to obtain this probability for the probability is greater than 1.93 We need to use the first property, the symmetry, the standard or distribution, which is that the area to the left of the negative Z score is the same as the area to the right of the positive Z score. From this 15 solution are probabilities equal to probabilities is less than negative 150.38 plus. The probability is less than negative. 1.93 Using the symmetry equals total 0.3788

In this question, we went to find the shaded area under standard normal distribution cough. We want to find the probability in which a simple Z is between negative 0.20 and 1.56 We can calculate this value using a normal Syria function on a graphic calculator. Since this is a standard normal distribution, we set the mean to zero and standard deviation toe want for the other parameters. We said the upper bound to 1.56 and lower bound to negative 0.20 The result is 0.519 night.

I would find the probability that my zehr value will be between zero and minus 0.8 night myself. Value will be between zero and minus 0.89 This is somewhere I have 0.89 All right, this is minus 0.89 So what I can do is I know, to the left off zero my probability 0.5 and toe the left off. This that is this shaded reason is nothing with a P value of minus 0.89 So I can do 015 minus the P value off minus 0.89 So let me just find that minus 0.89 I'm using a calculator for this. This is one bill and my P value is 0.1867 This is minor 0.1867 And how much do I get? 015 minus 0.26. And this is zero point 31 33 This is my answer.


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