Question 10

In choice situations of this type, subjects often exhibit the "center stage effect," which is a tendency to choose the item in t

victus00 [196]

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

The probability that he or she would choose the pair of socks in the center position is $p =\frac{1}{5}$

The correct answer choice is

X has a binomial distribution with parameters n=100 and p=1/5

b

The mean is $\mu = 20$

The standard deviation is $\sigma=4$

c

The probability, $P =0.0002$

d

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

Using the R the probability $Pe = 0.0003$

The probabilities $P \approx Pe$

Step-by-step explanation:

Since the person selects his or her desired pair of socks at random , then the probability that the person would choose the pair of socks in the center position from all the five identical pair is mathematically evaluated as

$p =\frac{1}{5}$

$=0.2$

The mean of this distribution is mathematical represented as

$\mu = np$

substituting the value

$\mu = 100 * 0.2$

$\mu = 20$

The standard deviation is mathematically represented as

$\sigma = \sqrt{np (1-p)}$

substituting the value

$= \sqrt{100 * 0,2 (1-0.2)}$

$\sigma=4$

Applying normal approximation the probability that 34 or more subjects would choose the item in the center if each subject were selecting his or her preferred pair of socks at random would be mathematically represented as

$P=P(X \ge 34 )$

By standardizing the normal approximation we have that

$P(X \ge 34) \approx P(Z \ge z)$

Now z is mathematically evaluated as

$z = \frac{x-\mu}{\sigma }$

Substituting values

$z = \frac{34-20}{4}$

$=3.5$

So using the z table the $P(Z \ge 3.5)$ is 0.0002

The probability P and Pe that 34 or more subject would choose the center pair is very small So

The correct answer is

The experiment supports the center stage effect. If participants were truly picking the socks at random, it would be highly unlikely for 34 or more to choose the center pair.

6 0

2 years ago

5. What is the solution to the equation -3(h + 5) + 2 = 4(h + 6) - 9

Klio2033 [76]

Answer: d.h=−4

PLZ MARK BRAINLIEST!

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(h+5)+2=4(h+6)−9

Step 1: Simplify both sides of the equation.

−3(h+5)+2=4(h+6)−9

(−3)(h)+(−3)(5)+2=(4)(h)+(4)(6)+−9(Distribute)

−3h+−15+2=4h+24+−9

(−3h)+(−15+2)=(4h)+(24+−9)(Combine Like Terms)

−3h+−13=4h+15

−3h−13=4h+15

Step 2: Subtract 4h from both sides.

−3h−13−4h=4h+15−4h

−7h−13=15

Step 3: Add 13 to both sides.

−7h−13+13=15+13

−7h=28

Step 4: Divide both sides by -7.

−7h

−7

=

28

−7

h=−4

5 0

2 years ago

Read 2 more answers

Gary used landscape timbers to create a border around a garden shaped like a right triangle. The longest two timbers he used are

Cloud [144]

Answer:

9 feet

Step-by-step explanation:

Given:

The border of the garden is a right angled triangle.

Two lengths are given as 12 ft and 15 ft.

Let the length of the shortest timber be 'x' feet.

Now, in a right angled triangle, the longest length is called the hypotenuse.

As 15 feet is the largest length, it is the hypotenuse of the triangle. Now, applying Pythagoras theorem, we get:

$(Leg1)^2+(Leg2)^2=(Hypotenuse)^2\\x^2+12^2=15^2\\x^2+144=225\\x^2=225-144\\x^2=81\\x=\pm \sqrt{81}=\pm 9$

The negative value is neglected as length can never be negative.

Therefore, the length of the shortest timber is 9 feet.

8 0

2 years ago

A bacon cheeseburger at a popular fast food restaurant contains 2,070mg of sodium, which is 86% of the recommended daily amount.

svp [43]

2,070mg 86%
— = —
? mg 100%

Cross multiply (2,070 X 100) which equals 207,000

Then divide 207,000 by 86 which equals
2,406.976

Then you round so you get 2,407

The Answer is 2,407 milligrams

5 0

2 years ago

Haley is considering two gym membership plans. The plans are detailed here. Plan one $50 for a monthly pass and a $3 fee for eac

vodomira [7]

Well for the first one it'd be y=3x+50 and for the second one it'd be y=10x

5 0

2 years ago

Read 2 more answers