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LUCKY_DIMON [66]
4 years ago
11

Determine whether the random variable is discrete or continuous. In each​ case, state the possible values of the random variable

. ​(a) The number of free dash throw attempts before the first shot is made. ​(b) The amount of rain in City Upper B during April.
Mathematics
1 answer:
Advocard [28]4 years ago
5 0

Answer:

a. Discrete

b.Continuous

Step-by-step explanation:

a. A discrete random variable has a countable number of possible values.

-The probability of each value of a discrete random variable is between 0 and 1, and the sum of all the probabilities is equal to 1.

-The number of free dash throw attempts are countable. Hence, a Discrete Random Variable.

b. -A continuous random variable is a random variable where the data can take infinitely many values.

-A continuous random variable is a random variable is qualitative in nature.

-The amount of rainfall will take different values in different April months. Hence Continuous Random Variable.

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√(0.301 × 0.699 / 83) ≈ 0.050

We have a large sample size of n = 83 respondents. Let p be the true proportion of persons who work less than 40 hours per week. A point estimate of p is  because about 30.1 percent of the sample work less than 40 hours per week. We can estimate the standard deviation of  as . A  confidence interval is given by , then, a 68% confidence interval is , i.e., , i.e., (0.251, 0.351).  is the value that satisfies that there is an area of 0.16 above this and under the standard normal curve.The standard error for a proportion is √(pq/n), where q=1−p.

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