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3 years ago

In a survey conducted in an office, 60% of the sample respondents agreed that employees should have flexible working hours.

2 answers:

7 0

The % margin of error means that the real value is in the range between the mean less the margin error and the mean plus the margin error. This is [ mean - % of error, mean + % of error]. Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is<span> between 58% and 62%. </span>

kati45 [8]3 years ago

6 0

Then, in this case the error of +/- 2% means that the expected population proportion that wants flexible working hours is between 60% - 2% and 60% + 2%, which is between 58% and 62%.

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The probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7. Assume the tria

zhannawk [14.2K]

Answer:

(a) P(X = 4) = 0.0189

(b) P(X $\leq$ 4) = 0.9919

(c) P(X $\geq$ 4) = 0.027

Step-by-step explanation:

We are given that the probability of a successful optical alignment in the assembly of an optical data storage product is p = 0.7 .

Since we have to find the probabilities for 1st successful alignments, so the probability distribution that we will use here is Geometric distribution.

<u>Geometric distribution</u> is used when we are interested in knowing the chances of our first success.

The probability distribution of geometric distribution is given by;

$P(X =x) = p(1-p)^{x-k} ; x = 1,2,3,....$

where, $x$ = number of trials

k = first success = 1

p = probability of getting success = 0.70

So, X ~ Geo(p = 0.7)

(a) Probability that the 1st successful alignment requires exactly 4 trials is given by = P(X = 4)

Here, $x$ = 4, p = 0.7 and k = 1

So, P(X = 4) = $0.7(1-0.7)^{4-1}$ = $0.7 \times 0.3^{3}$ = 0.0189

(b) Probability that the 1st successful alignment requires at most 4 trials is given = P(X $\leq$ 4)

P(X $\leq$ 4) = P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

= $0.7(1-0.7)^{1-1} + 0.7(1-0.7)^{2-1}+0.7(1-0.7)^{3-1}+0.7(1-0.7)^{4-1}$

= $0.7 \times 0.3^{0}+0.7 \times 0.3^{1}+0.7 \times 0.3^{2}+0.7 \times 0.3^{3}$

= 0.7 + 0.21 + 0.063 + 0.0189 = 0.9919

P(X $\geq$ 4) = 1 - P(X < 4) = 1 - P(X $\leq$ 3)

P(X $\geq$ 4) = 1 - P(X = 1) - P(X = 2) - P(X = 3)

= $1-0.7(1-0.7)^{1-1} + 0.7(1-0.7)^{2-1}+0.7(1-0.7)^{3-1}$

= $1-0.7 \times 0.3^{0}+0.7 \times 0.3^{1}+0.7 \times 0.3^{2}$

= 1 - 0.7 - 0.21 - 0.063 = 0.027

8 0

3 years ago

Name the place value to which each number was round 4.805 to 4.8

sesenic [268]

The place value is the tenths place

6 0

3 years ago

The area of a cross section perpendicular to the base of a rectangular prism is 45 square inches. If the length and width of the

Naily [24]

The height of the prism is $2.25 \ in$

Explanation:

It is given that the area of the cross section of the rectangular prism is 45 square inches.

Length of the rectangular prism is $5 \ in$

Width of the rectangular prism is $5 \ in$

To determine the height of the prism, let us substitute these values in the formula $SA=(2l+2w)h$ , we get,

$45=(2(5)+2(5))h$

Multiplying the terms within the bracket, we get,

$45=(10+10)h$

Adding the terms within the bracket, we have,

$45=20h$

Dividing both sides by 20, we get,

$2.25=h$

Thus, the height of the rectangular prism is $2.25 \ in$

4 0

3 years ago

Which best describes the dimensions of a plane?

n200080 [17]

Answer: C) 2 dimensions; flat surface of length and width, but no depth

One way to think of a plane is to think of a flat sheet of paper that extends infinitely in all directions. The paper must be kept flat without any bends.

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3 years ago

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PLEASE HELP ME !!! ASAP PLS!!!

tensa zangetsu [6.8K]

Answer:

AI and AJ

Step-by-step explanation:

Opposite rays start at the same point (A) and go in the complete opposite direction

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3 years ago

Read 2 more answers