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Romashka [77]
3 years ago
13

Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip th

e coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62


Select from the drop-down menus to correctly complete each statement.

The relative frequency of heads is

40%.

Mr. Clark's claim about the theoretical probability is likely to be

.

This means that the theoretical probability of tails is most likely
for this coin.
Mathematics
1 answer:
Brrunno [24]3 years ago
5 0
While I'm unsure what the word choices were, his claim is likely to be true. 

Since he claims the probability of heads is 40%, that should be what we see in an experiment.  0.38 is very close to 0.40, or 40%, so this is true.  Therefore his claim is likely to be true, and the probability of tails should be about 60%.
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Answer:

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Step-by-step explanation:

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In the game, the possible outcomes are: HH, HT, TH and TT.

Charlie wins when the outcome is HH, TT

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Therefore, the game is fair. Charlie is right.

(b)

If the outcome is HH, Lucy pays $3.

If the outcome is HT or TH, Lucy gets $2.

If the outcome is TT, Lucy pays $1.

The probability distribution of Lucy's profit is given below:

\left|\begin{array}{c|c|c|c}$Profit(x)&-\$3&-\$1&\$2\\P(x)&1/4&1/4&2/4\end{array}\right|

Expected Profit

=(-3 \times \frac14)+(-1\times \frac14)+(2 \times \frac24)\\=$0

Lucy's expected profit from the game is $0.

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Step-by-step explanation:

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