A used-car dealer gets complaints about his cars as shown in the table. Number of complaints per day         0       1          2        3         4         5        6Probability 0.01   0.07  0.19   0.24   0.29     0.1    0.1   Find the expected number of complaints per day (rounded to 2 decimal places). Show work to receive partial credit. E(x) = [expected_value]

If a single card is drawn from a standard 52-card deck, in how many ways could it be either king or a heart? Show work to receive partial credit.   There are [answer] ways.

From the sample space S={1, 2, 3, 4,…, 15} a single number is to be selected at random. Find the probability that the selected number is an even number.    P(E) = [probability] Enter probability as a fraction in lowest terms or decimal rounded to 3 places. Show work to receive partial credit.

If a single card is drawn from a standard 52-card deck, in how many ways can a card other than a spade be obtained? Show work to receive partial credit.   There are [answer] ways.

Determine the number of possibilities of two-digit counting numbers formed using the digits {3, 8, 7, 1, 4, 2}. Show work to receive partial credit. There are [answer] possibilities.

In a race in which five cars are entered and there are no ties, in how many ways can the first three finishers come in? Show work to receive partial credit.   There are [answer] ways for the first three finishers to come in.

For a set of 5 elements find the number of different subsets of 1 elements.   There are [answer] ways.

Evaluate          

Pamela’s printer allows for optional settings with a panel of four on-off switches in a row. How many different settings can she select if no two adjacent switches can both be on?  You must submit a tree diagram to receive full credit. Number of possible settings is [answer]  

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