Question 11 4 points Save If two events are mutually exclusive, what is the prob

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  Question 11 4 points   Save   If two events are mutually exclusive, what is the probability that both occur at the same time? 0. 0.50. 1.00. Cannot be determined from the information given. If two events are mutually exclusive, what is the probability that both occur at the same time? A business venture can result in the following outcomes (with their probabilities in parentheses): Highly Successful (10%), Successful (25%), Break Even (25%), Disappointing (20%), and Highly Disappointing (unknown). If these are the only outcomes possible for the business venture, what is the chance that the business venture will be considered Highly Disappointing? If two events are mutually exclusive, what is the probability that one or the other occurs? The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that the cost is kept within budget and the campaign will increase sales is: When using the general multiplication rule, P(A and B) is equal to The probability that house sales will increase in the next 6 months is estimated to be 0.25. The probability that the interest rates on housing loans will go up in the same period is estimated to be 0.74. The probability that house sales or interest rates will go up during the next 6 months is estimated to be 0.89. The probability that both house sales and interest rates will increase during the next 6 months is: The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh between 3 and 5 pounds is ? A food processor packages orange juice in small jars. The weights of the filled jars are approximately normally distributed with a mean of 10.5 ounces and a standard deviation of 0.3 ounce. Find the proportion of all jars packaged by this process that have weights that fall above 10.95 ounces.

Explanation / Answer

11) 0

12) we know total of all prob = 1

so highly disapoint = 1 - .1 - .25 - .25 - .2 = 0.2

so 20 %

13) cannot be determined

14) .4*.8 = 0.32

15) P(A and B) = P(A|B)*P(B)

16) P(A or B) = P(A) + P(b) -P(A and b)

P( And B ) = 0.25 + 0.74 - 0.89 = 0.1

17) P(3<X<5) = P( z< 1.8/0.8) - P(z< -0.2/8) = 0.98778 - 0.4019 = 0.5865

18) P(x> 10.95) = P(z> (10.95 - 10.5)/0.3)=
0.0668

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