Answer:
Step-by-step explanation:
According to the given information, we have
Sample size : n= 50
Since population standard deviation is unknown, so we use t-test.
Critical value for 95 percent confidence interval :
Confidence interval :
Required 95% confidence interval :
Answer:
a.
Mean of given distribution=1.95
Standard deviation of given distribution=0.865
Step-by-step explanation:
a.
Mean of given distribution= E(x)=∑[x*P(x)]
Mean of given distribution=0*0.05+1*0.25+2*0.4+3*0.3
Mean of given distribution=0+0.25+0.8+0.9
Mean of given distribution=1.95
Standard deviation of given distribution=σx=√[ E(x²)-(E(x))²]
E(x²)=∑x²p(x)=0²*0.05+1²*0.25+2²*0.4+3²0.3
E(x²)=0+0.25+1.6+2.7
E(x²)=4.55
Standard deviation of given distribution=√[4.55-(1.95)²]
Standard deviation of given distribution=√[4.55-3.803]
Standard deviation of given distribution=√0.748
Standard deviation of given distribution=0.865
Step-by-step explanation:
<u>to </u><u>evaluate</u><u> </u><u>the </u><u>difference</u><u> </u><u>between</u><u> </u><u>them </u><u>so,</u>
<u>subtract </u><u>1</u><u>.</u><u>8</u><u> </u><u>by </u><u>5</u><u>.</u><u>1</u>
<u>so,</u>
<u>5</u><u>.</u><u>1</u><u> </u><u>-</u><u> </u><u>1</u><u>.</u><u>8</u><u> </u><u>=</u><u> </u><u>3</u><u>.</u><u>3</u>
<u>so </u><u>difference</u><u> </u><u>between</u><u> </u><u>them </u><u>is </u><u>3</u><u>.</u><u>3</u>
<u>hope </u><u>this</u><u> answer</u><u> helps</u><u> you</u><u> dear</u><u>.</u><u>.</u><u>take </u><u>care</u><u> and</u><u> may</u><u> u</u><u> have</u><u> a</u><u> great</u><u> day</u><u> ahead</u><u>!</u>
If there are 5 specific spots and the order does matters then we would have:
11*9*8=792
Hope this helps!