Finding Values in the Probability Distribution Formula

It is the weighted average of the possible values that the random variable can take.

• mode

• variance

• standard deviation

• mean

Find the missing value, p to make this a valid probability distribution.

• 0.17

• 0.20

• 0.19

• 0.16

What is the the total area under the standard normal distribution curve?

• 100

• 25

• .5

• 1

The center of the curve represents what value of a data set?

• μ = population mean

• δ = population standard deviation

• Σ= sum of the data values

• Ζ = z or standard scores

Find the mean of the probability distribution

The table above shows a television station's advertisement sales. The distribution of sales for one 24-hour day is given. Solve for the mean. Round to the nearest hundredth.

• 31.8

• 15.68

• 0.20

• 1.00

A bakeshop owner determines the number of boxes of pandesal that are delivered each day. Find the mean of the probability distribution shown. if the manager stated that 35 boxes of pandesal were delivered in one day, do you think this a believable claim?

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The following table gives the probabilities that a probation officer will receive 0,1 ,2 ,3 ,4, or 5 reports of probations on any given day. Calculate the expected probation reports that the officer may receive in any given day. Use 2 decimal places

The first step in finding the variance of discrete probability distribution

• Subtract the mean from each value of the random variable X.

• Square the results obtained in Step 2.

• Multiply the results obtained in Step 3 by the corresponding probability.

• Find the mean of the probability distribution.

The mean and standard deviation of a population are 200 and 20, respectively.

What is the probability of selecting 25 data values with a mean less than 190?

• 0.62%

• 2.28%

• 97.72%

• 99.38%