SHOW SOME STEP OR EXPLAIN PLEASE THX!!!!!!!!! Question 8 Based on weather data c

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SHOW SOME STEP OR EXPLAIN PLEASE THX!!!!!!!!!

Question 8 Based on weather data collected in Racine, Wisconsin, on Christmas Day, the weather had the following distribution vent lear & loudy & dr Relative Frequenc 0.20 0.30 0.40 0.10 Rain Snow What is the probability that next Christmas will be rainy or cloudy and dry? A) 0.5 B) 0.6 C) 0.7 D) 0.45 Question 9 Two chips are drawn at random and without replacement from a bag containing four blue chips and three red chips. Find the probability of drawing two red chips A) 1/12 B) 6/7 D) 9/49 Question 10 When a customer enters a store there are three outcomes that can occur: buy nothing, buy a small amount, or buy a large amount. In this situation, if a customer buys a large amount, he cannot also buy a small amount or buy nothing. Thus the events are A) dependent events B) mutually exclusive C) independent. D) all inclusive

Explanation / Answer

1) Here all are independent to each other.

P(A U B) = P(A) + P(B)

P(Rainy or Cloudy& dry) = P(Rainy) +P(Cloudy& dry) = 0.4 +0.3 = 0.7

2) P(Both red colored)

Probability of drawing one red chip from bag

P(red colour chip)= total red chips/ total chips on bag = 3/7

Probability of drawing second red chip from bag without replacement

P(Second red chip without replacing first) =Total red chip-1/ total chips in bag-1 = 2/6

Probability of both red chips= 3/7 * 2/6 = 1/7

3) Dependent events: If a first event occurs, then the outcome affects the second or third event.

Mutually exclusive: If the outcome of one is true another event cannot be true.(Both cannot occur at a time)

Independent: All events are independent to each other without mutual relation

All inclusive: The events can occur both at a time called inclusive.

Answer: B

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