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1. To the given question probability is 0.6847 to four decimal places.

   What is probability?

   • Probability refers to potential. A random event’s occurrence is the subject of this area of mathematics.
   • The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.
   • The degree to something which is likely to happen is basically what probability means. You will understand the potential consequences for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution.
   • Knowing the total number of outcomes is necessary before we can calculate the likelihood that a specific event will occur.

   Here, we’ll want to use z scoring to determine the probabilities that x will be either 9 or 5, after which we’ll subtract P(x=5) from P(x=9) to determine the likelihood that x will fall between these two numbers.

   Find the z score for every value to begin.

   x = 9 , z = (x-μ)/σ = (9-6)/2 = 3/2

   x = 5 , z = (x-μ)/σ = (5-6)/2 = -1/2

   The probability for every individual z score can then be determined using the z score table.

   P(x<=5) = .3085

   P(x<=9)= .9332

   Subtract P(x=9) from P(x=5) to get.9932 -.3085, which equals .6847

   Learn more probability here:

   https://brainly.com/question/24756209

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