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MATH/STAT 203 A - Probability and Statistics I (SP 2025)

MATH/STAT 203 A - Probability and Statistics I (SP 2025)

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According to the empirical rule for a bell-shaped distribution we know that

68% of data values fall within 1.5 standard deviations of the mean.

50% of data values between the first and the third quartiles.

32% of data values are more than one standard deviation above or below the median.

32% of data values are more than one standard deviation above or below the mean.

100%

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Pulse rates of adult men are approximately normal with a mean of 70 and a standard deviation of 8. Which choice correctly describes how to find the proportion of men that have a pulse rate greater than 78?

Find the area between z = -1 and z = 1 under the standard normal curve.

Find the area to the left of z = 1 under the standard normal curve.

Find the area to the right of z = 1 under the standard normal curve.

Find the area to the right of z = -1 under the standard normal curve.

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A normal distribution is determined by two parameters, these are

The mean and the standard deviation

✅

The sample size and the confidence level.

❌

The two quartiles

❌

The median and the first quartile

❌

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What is the score bounding the lower 88.88% of area under a normal distribution?

[You can use a calculator for this question]

100%

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What percentage of data falls within 2 standard deviations of a normal distribution with mean 68 and standard deviation 5?

In Canada, 1 in 12 women will be diagnosed with breast cancer in their lifetime. What is the probability that in a sample of 20 women at least 7 will be diagnosed with breast cancer?

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This allows us to calculate binomial coefficients in a recursive way:

Binomial Theorem

Pascal's triangle

Bernoulli trial

100%

Binomial distribution

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1 in every 4 Canadians suffer from pre-diabetes. In a sample of 100 individuals, we expect:

75 of them to have diabetes

25 of them to have some form of diabetes

100%

75 of them to have no pre-diabetes

25 of them to have no pre-diabetes

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1 in every 4 Canadians suffer from pre-diabetes. Finding 19 individuals with pre-diabetes in a random sample of 48 people would be:

unusually low

not unusual

unusually high

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This is an example of a binomial variable:

The length of a pregnancy (in days).

The number of patients seen by a doctor before fining a patient with lung cancer.

The number of days needed to recover from the flu.

The number of patients with dementia in a sample of 100 patients.

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