The television show CSI: Shoboygan has been successful for many years. That show recently had a share of 18, meaning that among the TV sets in use, 18% were tuned to CSI: Shoboygan. Assume that an advertiser wants to verify that 18% share value by conducting its own survey, and a pilot survey begins with 14 households have TV sets in use at the time of a CSI: Shoboygan broadcast. Find the probability that none of the households are tuned to CSI: Shoboygan. P(none) = Find the probability that at least one household is tuned to CSI: Shoboygan. P(at least one) = Find the probability that at most one household is tuned to CSI: Shoboygan. P(at most one) = If at most one household is tuned to CSI: Shoboygan, does it appear that the 18% share value is wrong? (Hint: Is the occurrence of at most one household tuned to CSI: Shoboygan unusual?)
Answers
Answer:
(a) The value of P (None) is 0.062.
(b) The value of P(at least one) is 0.938.
(c) The value of P(at most one) is 0.253.
(d) The event is not unusual.
Step-by-step explanation:
Let X = number of households watching the show.
The probability of the random variable x is, P (X) = p = 0.18.
The sample selected for the survey is of size, n = 14
The random variable X follows a Binomial distribution with parameter n = 14 and p = 0.18.
The probability of a Binomial distribution is computed using the formula:
(a)
Compute the probability that none of the households are tuned to CSI: Shoboygan as follows:
Thus, the value of P (None) is 0.062.
(b)
Compute the probability that at least one household is tuned to CSI: Shoboygan as follows:
P (X ≥ 1) = 1 - P (X < 1)
= 1 - P (X = 0)
Thus, the value of P(at least one) is 0.938.
(c)
Compute the probability that at most one household is tuned to CSI: Shoboygan as follows:
P (X ≤ 1) = P (X = 0) + P (X = 1)
Thus, the value of P(at most one) is 0.253.
(d)
An event that has a very low probability of occurrence is known as an unusual event.
The probability of the event "at most one household is tuned to CSI: Shoboygan" is 0.253.
This probability value is not low.
Hence, the event is not unusual.
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Which is better 32 miles or 12.7 kilometers and why
Answers
Answer:
Weighted mean hourly charge = $168.28 (Approx)
Given:
Charge for research = $125 per hour
Charge for consultations = $80 per hour
Charge for writing a brief = $250 per hour
Research work = 12 hour
Consultations = 8 hour
Writing = 15 hour
Computation:
Total hours = 12 + 8 + 15 = 35 hours
Total charge for researching = $125 × 12 = $1,500
Total charge for consulting = $80 × 8 = $640
Total charge for writing = $250 × 15 = $3,750
Total charge = $5,890
Weighted mean hourly charge = 5890 / 35
Weighted mean hourly charge = $168.28 (Approx)
Answers
Answer:
see below
Step-by-step explanation:
It can be convenient to graph the given point, then identify additional points on the line based on the slope. The slope of 2/5 tells you the line will have a rise of 2 units for each run of 5 units.
Answers
Answer:
1/6
Step-by-step explanation:
2/3-1/2 = find the denominator 3×2=6
4/6-3/6 = rewrite with a denominator of 6
(4-3)/6 = 1/6 subtract numerators
Answer:
1/3
Step-by-step explanation:
Answers
Answer:
11x-1
Step-by-step explanation:
Area =length x width
so multiply (2x+3) and (3x+1) to get 11x-1
Answers
Answer:
4 5 2 3 ^ / 4 - × 4 9 2 - × +
Step-by-step explanation:
Start by putting a left parenthesis "(" on the operator stack, and adding a right parenthesis ")" to the end of the input expression.
Conversion algorithm
Copy any operands to the output string until an operator is encountered. Pop operators from the operator stack to the output string if they have equal or higher precedence, then put the operator encountered onto the operator stack. When a right parenthesis is encountered, pop operators from the operator stack to the output string until a left parenthesis is found. Drop that left parenthesis.
__
Given example
For the given expression, we copy 4 and 5 to the output, push / to the operator stack, copy 2 to the output, push ^ to the operator stack, and copy 3 to the output. At this point, the output is ...
4 5 2 3
and the operator stack is
( * ( / ^ . . . . . top item is on the right
When we encounter the - sign, we write the ^ and / operators to the output string and push - to the operator stack. At this point, the state is ...
output: 4 5 2 3 ^ / operator stack: ( * ( -
Next, we copy 4 to the output. When we encounter the right parenthesis, we copy - to the output and pop the ( from the operator stack.
The next input symbol, +, is lower precedence than the remaining * on the operator stack, so we output the * and push the +. Now we have ...
output: 4 5 2 3 ^ / 4 - * operator stack: ( +
The output string so far completes the evaluation of the first term of the input expression.
Now, we copy out 4, push * and (, copy out 9, push -, copy out 2. The right parenthesis triggers the popping of the - to the output, and the final right parenthesis that we added at the start pops the * and + from the operator stack. Our final output is ...
4 5 2 3 ^ / 4 - × 4 9 2 - × +
_____
The result is 14.5.
Hope This Helps!!!
Have a great day!!!
Answers
Answer:
Step-by-step explanation:
Hello,
This is the equation of a line so if you know two points of the line you can graph it, right?
For x = 0 y = -3 so the point A (0,-3) is on the graph
For x = 3 y =-4 so the point B (3,-4) is on the graph
And then you can draw the line as below
Thanks