Show all work! \"Probability answers should be written as a percent. Round all d

Question

Show all work! "Probability answers should be written as a percent. Round all decimals to two places (unless they end) before you change it to a percent. 5396 :-12.5% DECIMAL ENDS Ex: 1. A random sample of 245 new Smile Bright electric toothbrushes showed that 13 a. What is the probability that a new Smile Bright electric toothbrush is were defective. defective? b. What is the probability that a Smile Bright electric toothbrush is not defective? (Round to two decimal places.) c. What is the sample space in this problem? 2. A student council is made up of five women and eight men. One of the women is the president of the council. A member of the council is selected at random to report to the dean of student life. a. What is the probability that a woman is selected? b. What is the probability that a man is selected? c. What is the probability that the president of the student council is selected? 3. If you roll a single fair die and count the number of dots in top, what is the probability of getting more than 3 on a single throw? 4. You roll two fair dice, a blue one and a yellow one. a. Find P(even number on the blue die and 3 on the yellow die) b. Find P(3 on the blue die and even number on the yellow die)

Explanation / Answer

8.

Answer to each part is below with formulae:

a.P(NS) = 35/360 = 0.0972

b.P(W) = 103/360 = 0.2861

c.P(NS|W) = 21/103 = 0.2039

d.P(NS and W) = 21/360 = 0.0583

e.P(NS or W) = (103+35-21) / 360 = 0.325

f.P(VS|R) = 48/(149) = 0.3221

g.P(VS and TV) = 31/360 = 0.0861

h.P(Ne or TV) = (80+108-25)/ 360 =0.4528

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