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Shkiper50 [21]
2 years ago
11

Pedro has a spinner with 4 sections numbered 1 through 4. Pedro spins the spinner 100 times and records the results. He calculat

es the relative frequency of each outcome. Outcome 1 2 3 4 Relative Frequency 0. 24 0. 25 0. 26 0. 25 Which statements about Pedro's experiment are true? Select each correct answer. A uniform probability model is a good model to represent probabilities related to the numbers generated in Pedro's experiment. The theoretical probability that any one number is chosen is likely 0. 20. It is likely that the spinner is fair. The relative frequencies in the table are very different.
Mathematics
1 answer:
klasskru [66]2 years ago
8 0

The probabilities of each number are equal. Then statements A and C are correct.

<h3>What is probability?</h3>

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

Given

Pedro has a spinner with 4 sections numbered 1 through 4.

Pedro spins the spinner 100 times and records the results.

He calculates the relative frequency of each outcome.

Outcome                                 1                2              3               4

Relative Frequency             0.24          0.25        0.26          0.25

A)  A uniform probability model is a good model to represent probabilities related to the numbers generated in Pedro's experiment. This statement is correct.

B)  The theoretical probability that any one number is chosen is likely 0.20. This is incorrect because every number has an equal probability.

C)  It is likely that the spinner is fair. This statement is correct because the probabilities of each number are equal.

D)  The relative frequencies in the table are very different. This statement is incorrect. Because numbers 2 and 4 have the same frequency and the number 1 and 3 have slightly different frequencies.

More about the probability link is given below.

brainly.com/question/795909

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Y is a random variable that is distributed N(-16, 1.21). Find k such that Prob(-15.043 &lt; Y ≤ k) = 0.1546. (Round your answer
IgorLugansk [536]

Transform <em>Y</em> to <em>Z</em>, which is distributed N(0, 1), using the formula

<em>Y</em> = <em>µ</em> + <em>σZ</em>

where <em>µ</em> = -16 and <em>σ</em> = 1.21.

Pr[-15.043 < <em>Y</em> ≤ <em>k</em>] = 0.1546

Pr[(-15.043 + 16)/1.21 < (<em>Y</em> + 16)/1.21 ≤ (<em>k</em> + 16)/1.21] = 0.1546

Pr[0.791 < <em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] - Pr[<em>Z</em> < 0.791] = 0.1546

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] = 0.1546 + Pr[<em>Z</em> < 0.791]

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.1546 + 0.786

Pr[<em>Z</em> ≤ (<em>k</em> + 16)/1.21] ≈ 0.940

Take the inverse CDF of both sides (<em>Φ(x)</em> denotes the CDF itself):

(<em>k</em> + 16)/1.21 ≈ <em>Φ⁻¹</em> (0.940) ≈ 1.556

Solve for <em>k</em> :

<em>k</em> + 16 = 1.21 • 1.556

<em>k</em> ≈ -14.118

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