You have a 1 in 4 chance of winning a game. How would you calculate the probability that you will win 3 times in a row? A

\frac{1}{4}

​4

​

​1

​​

B

3 \cdot \frac{1}{4}3⋅

​4

​

​1

​​

C

\frac{1}{4}+\frac{1}{4}+\frac{1}{ 4}

​4

​

​1

​​ +

​4

​

​1

​​ +

​4

​

​1

​​

D

\frac{1}{4} \cdot \frac{1}{4} \cdot \frac{1}{4}

​4

​

​1

​​ ⋅

​4

​

​1

​​ ⋅

​4

​

​1

​​

At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec