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rjkz [21]
3 years ago
7

According to a recent​ study, 14% of u.s. drivers are uninsured. a random sample of seven drivers was selected. what is the prob

ability that none of these drivers are​ uninsured?
Business
1 answer:
babunello [35]3 years ago
6 0

Answer: The probability that none of the drivers are uninsured is 0.3479 or 34.79%.

We can answer this question as follows:

We use the binomial distribution formula in order to find the probability.

The formula is as follows:

\mathbf{P(X=x) =_{n}^{x}\textrm{C}*p^{x}*q^{(n-x)}}

where

n is the total number of trials = 7

x is the number of successes among the trials = 0

p refers to the probability of success = 0.14

q refers to the probability of failure = 1-p = 1-0.14 = 0.86

_{n}^{x}\textrm{C} is the combination of choosing x items from a total of n items

Substituting the values we get

\mathbf{P(X=x) =\frac{n!}{x!*(n-x)!}*p^{x}*q^{(n-x)}}

\mathbf{P(X=x)=\frac{7!}{0!*(7-0)!}*0.14^{0}*0.84^{(7-0)}}

\mathbf{P(X=x)= 1*1*0.84^{(7-0)}}

\mathbf{P(X=x)= 0.347927822}



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3 years ago
Dechow Company has outstanding 20,000 shares of $50 par value, 6% cumulative preferred stock and 50,000 shares of $10 par value
JulijaS [17]

Answer:

a. Dividends to Preferred shareholders:

Total dividends:

= 20,000 * 50 * 6%

= $60,000

Dividends per preferred share:

= 60,000 / 20,000 shares

= $3.00 per share

Common shareholder dividends

Common shareholders get the remaining dividends that did not go to Preferred shareholders:

= 160,000 - 60,000

= $100,000

Common dividends per share:

= 100,000 / 50,000 shares

= $2.00 per share

b. These are cumulative preferred shares which means that accrued dividends must be paid off:

Preferred shares in total would be:

= 60,000 * 2

= $120,000

Preferred dividends per share:

= 120,000 / 20,000

= $6.00 per share

Common dividends in total:

= 160,000 - 120,000

= $40,000

Common dividends per share:

= 40,000 / 50,000 shares

= $0.80 per share

8 0
3 years ago
Intel, an American company, has manufacturing plants in China that assemble U.S. made components. Suppose one of these plants pr
Evgen [1.6K]

Answer:

Answer A

Explanation:

Import: when a country does not produce particular goods by itself, they buy goods from other country, Goods purchased from other country called imported goods

Export: when a country produces more goods than their needs, then these countries sell particular goods to other countries. goods sold to other countries called export goods.

when a goods is called import for a country, the same goods is called export for another country.

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3 years ago
XYZ Company makes 400 widgets. The variable costs are $35.60 per unit and fixed costs are $30.00 per unit; however, $21.40 in fi
Anuta_ua [19.1K]

Answer:

increase in income  of $80

Explanation:

Prepare an Analysis of Costs and Savings if the Company buys from Outside Supplier.

Note : The  fixed costs per unit at are unavoidable are irrelevant and disregarded in this decision.

<u>Analysis of Costs and Savings</u>

Purchase Price (400 widgets × $44.00)  =    ($17,600)

Savings :

Variable Costs ($35.60 × 400 widgets)   =     $14,240

Fixed Cost ( $8.60 × 400 widgets)           =      $3,440

Net Income effect                                      =           $80

Conclusion :

The effect on net income if the company instead buys the widgets is an increase in  income  of $80

3 0
4 years ago
You paid $9,700 for a $10,000 par value Treasury bill maturing in 3 months. What is the holding-period return if you hold the tr
Novay_Z [31]

Answer:

The holding-period return if the treasury bill is held until maturity is:

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Par value of Treasury bill = $10,000

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Holding-period return =         $300

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b) The holding-period return, otherwise called the yield, is the total return earned on the Treasury bill investment during the 3 months that it is held. The holding period is the 3-months time the Treasury bill is held by an investor, which corresponds to the period between the purchase date and sale date of the Treasury bill.

4 0
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