(b) From the distribution you found in part (a), what can you say about the distribution of X? The distribution of X is A. Symmetrical B. Skewed to the right C. Skewed to the left , with an mean of __________sixes and a standard deviation of ________ sixes. (Enter your answers to two decimals.) (c) As requested, you have tossed the die 7-times and observed X=5 sixes. If you were to repeat the 7-tosses of this die, what is the probability you will observe at least the same number of sixes as this? Enter your answer to four decimal places.
Your statistics professor hands you a fair die, with each side having the same chance of being the uppermost face. You are asked to toss the die 7 times and count the number of times the die shows a topside of six.
This count is represented by the random variable X.
| X | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| P(X=x) |
0.2791
|
0.3907
|
0.2344
|
0.0781
|
0.0156
|
0.0019
|
0.0001
|
0.00000357 |
(b) From the distribution you found in part (a), what can you say about the distribution of X?
The distribution of X is
A. Symmetrical
B. Skewed to the right
C. Skewed to the left
, with an mean of __________sixes and a standard deviation of ________ sixes. (Enter your answers to two decimals.)
(c) As requested, you have tossed the die 7-times and observed X=5 sixes. If you were to repeat the 7-tosses of this die, what is the probability you will observe at least the same number of sixes as this? Enter your answer to four decimal places.
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