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Damm [24]
2 years ago
15

Two part-time instructors are hired by the Department of Statistics and each is assigned at random to teach a single course in p

robability, inference, or statistical computing. Assume that more than one section of each course is offered. List the outcomes in the sample space [Hint: each element consists of a pair of assignments]. Find the probability that they will teach different courses. Note: carefully define your notation (e.g. any events) in words before solving the problem.
Mathematics
1 answer:
scZoUnD [109]2 years ago
3 0

Answer:

The probability that they will teach different courses is \frac{2}{3}.

Step-by-step explanation:

Sample space is a set of all possible outcomes of an experiment.

In this case we will write the sample space in the form (x, y).

Here <em>x</em> represents the course taught by the first part-time instructor and <em>y</em> represents the course taught by the second part-time instructor.

Denote every course by their first letter.

The sample space is as follows:

S = {(P, P), (P, I), (P, S), (I, P), (I, I), (I, S), (S, P), (S, I) and (S, S)}

The outcomes where the the instructors will teach different courses are:

s = {(P, I), (P, S), (I, P),(I, S), (S, P) and (S, I)}

The probability of an events <em>E</em> is the ratio of the number of favorable outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

Compute the probability that they will teach different courses as follows:

P(\text{Different courses})=\frac{n(s)}{n(S)}=\frac{6}{9}=\frac{2}{3}

Thus, the probability that they will teach different courses is \frac{2}{3}.

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Answer:

I think it may be 120 cm

Step-by-step explanation:

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Step-by-step explanation:

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A candy store sells 7 packs of bubble gum for $29.33. How much would it cost to buy 3 packs?
alexira [117]

Hi there,

Recall how 7 packs for gum sell for $29.33.

Before we can calculate how much it would cost to sell 3 packs of gum, we must calculate how much it would first cost to sell 1 pack of gum.

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In this case, the total cost is $29.33, and we receive 7 gum packs at that price.

Therefore, the cost of 1 pack of gum is \frac{29.33}{7}, which equates to $4.19.

We now know that each pack of gum costs $4.19.

Hence, 3 packs of gum would cost three times that price.

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The coordinates of four points on the line are (0,-5), (3,-3), (6,-1) and (9,1)

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The given parameters are given as:

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