A sample of size 18 will be drawn from a population with mean 5 and standard deviation 4. (a) Is it appropriate to use the normal distribution to find probabilities for x? (b) If appropriate find the probability that x will be greater than 4. th (c) If appropriate find the 20" percentile of x. O It is appropriate to use the normal distribution to find probabilities for x. The probability that x will be greater than 4 is The 20 percentile of x is O It is not appropriate to use the normal distribution to find probabilities for x.

The amounts of sugar in a serving of children's breakfast cereals is normally distributed with a mean of 8.4 grams and a standard deviation of 2.1 grams.   For a sample of 15 children's breakfast cereals, what is the probability that  the sample mean amount of sugar in a serving for the 15 cereals will be at least than 10 grams?   Show how you calculated your result here (type in what you typed on your calculator or computer, the function used on the calculator/computer with value input, etc) Calculation: ___________   Now type in your final simplified or rounded answer, if necessary round your answer to four decimal places. P(x¯<10 grams) =  ___________

X is a normally distributed variable with mean = 60 and standard deviation = 10 %3D For a randomly selected score from this distribution what is the probability that X is less than 42

Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives at the shoreline until a crashing wave is observed follows a Uniform distribution from 0 to 5.1 seconds. Round to 4 decimal places where possible. The mean of this distribution is The standard deviation is The probability that wave will crash onto the beach exactly 1.4 seconds after the person arrives is P(x = 1.4) = The probability that the wave will crash onto the beach between 1.3 and 4.7 seconds after the person arrives is P(1.3 < x < 4.7) = The probability that it will take longer than 3.92 seconds for the wave to crash onto the beach after the person arrives is P(x > 3.92) = Suppose that the person has already been standing at the shoreline for 1.1 seconds without a wave crashing in. Find the probability that it will take between 2.4 and 3.8 seconds for the wave to crash onto the shoreline. 84% of the time a person will wait at least how long before the wave crashes in?…

If a random member (x) is selected from a normal distribution having a mean of 80 and standard deviation of 5, what is the probability that the value of x lies between 78 and 83? Show your formula etc along with your answer.

A pair of dice is rolled 210 times. What is the probability that a total of 7 occurs (a) at least 24 times? (b) between 38 and 48 times inclusive? (c) exactly 35 times? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.

The processing time for the robogate has a normal distribution with mean 23 sec and standard deviation 2sec. Find the probability that the next operation of the robogate will take 27.4 sec or less. The probability is.