[8] 3. The probability of Christine getting a new job or going on vacation (or both) is .85. If the probability of Christine goingon vacation is .10 and the probability of Christine getting a new job is .75, are the events "Christine gets a new job"and "Christine goes on vacation" mutually exclusive? Justify your answer.4. The probability that Isabelle will go trick-or-treating is .4. The probability that she will go trick-or-treating or watch ascary movie is .65. The probability of Isabelle going trick-or-treating and watching a scary movie is .20.[9] a. What is the probability that Isabelle will not watch a scary movie?[4] b. What is the probability that Isabelle will watch a scary movie but does not go trick-or-treating?5. Let the universal set U ={a, b, red, blue, tan, green, 1, 2, 4, 6} and let subsets A= (a, b, 1, 2, 4, red, tan}, B = {x|x is a color},and C= {red, blue, green, 1, 2 }. Find the following sets:[3] a. A°[3] b. Вос[3] c. AnC[3] d. Ø U U° 6. Let U denote the set of Fall Centerpieces in Cathy's Country Shop and let:F = The set of centerpieces that contain flowers.G= The set of centerpieces that contain fall gourds.C = The set of centerpieces that contain candles.a. Using set notation (union, intersection, complement, etc.), write each subset of Cathy's centerpieces in terms of F, G, and C.[3] i. The set of centerpieces that contain flowers or candles (or both).[3] ii. The set of centerpieces that contain fall gourds and candles.[4] iii. The set of centerpieces that do not contain all three of these items.[4]] iv. The set of centerpieces that contain candles and fall gourds but not flowers[3] b. Describe the set C°nG° in words (in terms of what the sets and symbols mean).7. Trudy has 180 Trick-or-Treat goody bags in her shop. 120 of her bags contain candy, 95 of her bags contain asmall toy, and 45 of her bags contain both candy and a small toy.[4] a. How many of her treat bags do not contain both candy and a small toy?[4] b. How many of her bags contain candy but do not contain a small toy?[4] c. How many of her bags contain a small toy or candy or both?

Name: [8] 3. The probability of Christine getting a new job or going on vac
Uploaded: 2024-03-20T07:06:41.000Z
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Description: [8] 3. The probability of Christine getting a new job or going on vacation (or both) is .85. If the probability of Christine goingon vacation is .10 and the probability of Christine getting a new job is .75, are the events "Christine gets a new job"

The given data are: P(getting a new job or going on a vacation)=0.85 P(going on a vacation)=0.10…

Math

Probability

[8] 3. The probability of Christine getting a new job or going on vacation (or both) is .85. If the probability of Christine going on vacation is .10 and the probability of Christine getting a new job is .75, are the events “Christine gets a new job" and “Christine goes on vacation" mutually exclusive? Justify your answer. 4. The probability that Isabelle will go trick-or-treating is .4. The probability that she will go trick-or-treating or watch a scary movie is .65. The probability of Isabelle going trick-or-treating and watching a scary movie is .20. [9] a. What is the probability that Isabelle will not watch a scary movie? [4] b. What is the probability that Isabelle will watch a scary movie but does not go trick-or-treating? 5. Let the universal set U = {a, b, red, blue, tan, green, 1, 2, 4, 6} and let subsets A= (a, b, 1, 2, 4, red, tan}, B = {x|x is a color} and C= {red, blue, green, 1, 2 }. Find the following sets: [3] a. A° [3] b. Вос [3] c. AnC [3] d. Ø U U°