Pls answer the ffg Probability of an Event2-1. An injection-molded part is equally likely to beobtained from any one of the eight cavities on a mold.a) What is the sample space?b) What is the probability that a part is from cavity1 or 2?c) What is the probability that a part is from nei-ther cavity 3 nor 4?2-2. A box contains 500 envelopes, of which 75 con-tain $100 in cash, 150 contain $25, and 275 contain$10. An envelope may be purchased for $25. What isthe sample space for the different amounts of money?Assign probabilities to the sample points and thenfind the probability that the first envelope purchasedcontains less than $100.2-3. A pair of fair dice is tossed. Find the probabilityof gettinga) a total of 8;b) at most a total of 5.2-4. If 3 books are picked at random from a shelf con-taining 5 novels, 3 books of poems, and a dictionary,what is the probability thata) the dictionary is selected?b) 2 novels and 1 book of poems are selected?2-5. The probabilities that a service station willpump gas into 0, 1, 2, 3, 4, or 5 or more cars duringa certain 30-minute period are 0.03, 0.18, 0.24, 0.28,0.10 and 0.17, respectively. Find the probability thatin this 30-minute perioda) more than 2 cars receive gas;b) at most 4 cars receive gas.2-6. A shipment of 12 television sets contains 3 de-fective sets. In how many ways can a hotel purchase5 of these sets and receive 2 of the defective sets?2-7. Samples of emissions from three suppliers areclassified for conformance to air-quality specifica-tions. The results from 100 samples are summarizedas follows:ConformsYesNo1228Supplier225533010Let A denote the event that a sample is from supplier1, and let B denote the event that a sample conformsto specifications. If a sample is selected at random,determine the following probabilities:a) P[A]b) P[B]c) P[A']d) P[AN B]e) P[AU B]f) P[A'n B]

Probability = favorable outcomes /total outcomes According to guidelines we can answer for first…

Probability of an Event 2-1. An injection-molded part is equally likely to be obtained from any one of the eight cavities on a mold. a) What is the sample space? b) What is the probability that a part is from cavity 1 or 2? c) What is the probability that a part is from nei- ther cavity 3 nor 4? 2-2. A box contains 500 envelopes, of which 75 con- tain $100 in cash, 150 contain $25, and 275 contain $10. An envelope may be purchased for $25. What is the sample space for the different amounts of money? Assign probabilities to the sample points and then find the probability that the first envelope purchased contains less than $100. 2-3. A pair of fair dice is tossed. Find the probability of getting a) a total of 8; b) at most a total of 5.