show me the steps a to b The director of a local blood bank is in need of a dono

Question

show me the steps a to b

The director of a local blood bank is in need of a donor with type AB blood. The distribution of blood types for the blood banks region is estimated to be as shown in the table. The director decides that if more than 20 donors are required before the first donor with AB blood appears, she will need to issue a special appeal for AB blood. Complete parts a and b.

a. Conduct a simulation 10 times, using the random blood types provided to estimate the probability this will happen.

b. In practice, you would do at least 1000 simulations to estimate this probability well. You'd then find that the probability of exceeding 20 donors before finding a type AB donor is 0.36 Actually, simulation is not needed. Show how to find this probability by using the methods of this chapter.

Therefore, the probability can be written as the _________________ of the probabilities of 20 events that each have a probability _____ which is0.36

The direc or o1a ocel blood bank sin need o donor w h blood Coplete parts and b pe AB o od. The distribution c blood types or the blood banks re on estima ed to be as shown n e atle The drector decdes t at i more than 20 donors are required before he ret donor with blood appears, she il need to issue speca appeal fr AB Proba 10% 43% 5% l Cick the icon to view the list of randum boad type. a. Conduct a mulaon 10 maing the random hlod typea provideo smata tha prnhability this will hppn Tre estimated probablity i 0. Type an integer ar a dccimal. Do not round) b. n practice, cu ould do at least 1000 emulations o esimate s probabit el. You'd hen nd that the probabir of exceed g 20 donors before finding ype A dan r s 0 36 cu ir smulat on 15 not needed. Show how to find tis pro ab ty by using he me s or s chapter or th probablities, t 70 avants that AAth hava a prnhabilty , which n 36 Type an integer or a decimal. Do not round Lst of random blood types Ustuss by gcing row first or start at the top lef, go acros he first row A A A 0 A AAB AADAAAA A AB A A AB A A A B AA ABAAA Pri Dune

Explanation / Answer

Here type AB blood probability = 0.05

here doing simulation 10 times, we will check the given table and if we find that there are no AB in 20 persons then we will mark it success or otherwise failure.

here we observed that 8 times out of 8 there is no AB group person in 20 times in the row.

so here Probability = 8/10 = 0.8

(b) Here in the question, the distribution given is geometric one

where p = 0.05

and we have to find

Pr(x > 20) = 1 - Pr(x < = 20) = (1 - 0.05)^ 20 = 0.3585

so we get it the same result as simulation of more than 1000 times.

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