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How do you solve B for problem 1? Of 30 patients in a waiting room, 50% have colds, 20% have the flu, and 10% have

How do you solve B for problem 1?

  1. Of 30 patients in a waiting room, 50% have colds, 20% have the flu, and 10% have both (the other 20% have something else).(a) What is the probability that a patient picked at random has a cold or the flu?

(b) What is the probability that a patient picked at random has a cold and "something else" ?

Also need help with 2 and 3

2.Standardize the 10 x-values in problem #9 above.These z-values are the (standardized) standard deviations each x-value is from the standardized mean of zero.Using the Table of z-values, what is the probability (area or %) to the LEFT of each z-value (this is the probability that data points in this data set will have values LESS than or equal to that particular z-value.)Keep in mind that z-values can be + or -

What is the area to the RIGHT of that z-value (this is the probability that data points in this data set will have values GREATER than or equal to that particular z-value).

Mean:________, Standard deviation: _________ (from #9

x-value

2

33

41

41

49

41

34

51

50

97

z-value

% LEFT

% RIGHT

The % Left and Right corresponds to the PROBABILITY of data values being less than or greater than this specific z-value (the z-value is the standardized x-value).

3.If we know z-values we can back-calculate to get the original x-value or data point.Assume that the mean of a data set is 15 and the standard deviation is 3.We have a probability (area or percentage of data points) to the LEFT of this +z-value equal to 0.9015What is this z-value (the standardized standard deviation)?

Using that z-value what is the original x-value that when standardized became that z-value?

z = (x - mean) / SDsolve for x since you know the other 3 values (basic algebra).

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